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Finding the Fourth Proportional to 71,633.30, 107,413.02 and 32,156.60

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Solution

The fourth proportional to 71,633.30, 107,413.02 and 32,156.60 is: 48,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.30 : 107,413.02 = 32,156.60 : x
  2. Step 2: Convert to fraction form
    71,633.30/107,413.02 = 32,156.60/x
  3. Step 3: Cross multiply
    71,633.30x = 107,413.02 × 32,156.60
  4. Step 4: Simplify right side
    71,633.30x = 3,454,036,981.87
  5. Step 5: Solve for x
    x = 3,454,036,981.87/71,633.30
  6. Step 6: Final answer
    x = 48,218.32

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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.