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Finding the Fourth Proportional to 68,275.98, 102,413.97 and 21,532.50

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Solution

The fourth proportional to 68,275.98, 102,413.97 and 21,532.50 is: 32,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275.98 : 102,413.97 = 21,532.50 : x
  2. Step 2: Convert to fraction form
    68,275.98/102,413.97 = 21,532.50/x
  3. Step 3: Cross multiply
    68,275.98x = 102,413.97 × 21,532.50
  4. Step 4: Simplify right side
    68,275.98x = 2,205,228,809.03
  5. Step 5: Solve for x
    x = 2,205,228,809.03/68,275.98
  6. Step 6: Final answer
    x = 32,298.75

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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.