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Finding the Fourth Proportional to 31,413.32, 47,120.01 and 14,761.14

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Solution

The fourth proportional to 31,413.32, 47,120.01 and 14,761.14 is: 22,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.32 : 47,120.01 = 14,761.14 : x
  2. Step 2: Convert to fraction form
    31,413.32/47,120.01 = 14,761.14/x
  3. Step 3: Cross multiply
    31,413.32x = 47,120.01 × 14,761.14
  4. Step 4: Simplify right side
    31,413.32x = 695,545,064.41
  5. Step 5: Solve for x
    x = 695,545,064.41/31,413.32
  6. Step 6: Final answer
    x = 22,141.72

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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.