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Finding the Fourth Proportional to 70,940,643.80, 106,458,204.90 and 32,582,413.40

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Solution

The fourth proportional to 70,940,643.80, 106,458,204.90 and 32,582,413.40 is: 48,895,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940,643.80 : 106,458,204.90 = 32,582,413.40 : x
  2. Step 2: Convert to fraction form
    70,940,643.80/106,458,204.90 = 32,582,413.40/x
  3. Step 3: Cross multiply
    70,940,643.80x = 106,458,204.90 × 32,582,413.40
  4. Step 4: Simplify right side
    70,940,643.80x = 3,468,665,241,873,705.50
  5. Step 5: Solve for x
    x = 3,468,665,241,873,705.50/70,940,643.80
  6. Step 6: Final answer
    x = 48,895,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.