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Finding the Fourth Proportional to 42,175.20, 63,320.40 and 21,413.28

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Solution

The fourth proportional to 42,175.20, 63,320.40 and 21,413.28 is: 32,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.20 : 63,320.40 = 21,413.28 : x
  2. Step 2: Convert to fraction form
    42,175.20/63,320.40 = 21,413.28/x
  3. Step 3: Cross multiply
    42,175.20x = 63,320.40 × 21,413.28
  4. Step 4: Simplify right side
    42,175.20x = 1,355,897,454.91
  5. Step 5: Solve for x
    x = 1,355,897,454.91/42,175.20
  6. Step 6: Final answer
    x = 32,149.16

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