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Finding the Fourth Proportional to 38,274.71, 57,413.14 and 10,572.71

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Solution

The fourth proportional to 38,274.71, 57,413.14 and 10,572.71 is: 15,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.71 : 57,413.14 = 10,572.71 : x
  2. Step 2: Convert to fraction form
    38,274.71/57,413.14 = 10,572.71/x
  3. Step 3: Cross multiply
    38,274.71x = 57,413.14 × 10,572.71
  4. Step 4: Simplify right side
    38,274.71x = 607,012,165.91
  5. Step 5: Solve for x
    x = 607,012,165.91/38,274.71
  6. Step 6: Final answer
    x = 15,859.36

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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.