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Finding the Fourth Proportional to 31,864.32, 47,761.92 and 20,779.20

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Solution

The fourth proportional to 31,864.32, 47,761.92 and 20,779.20 is: 31,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.32 : 47,761.92 = 20,779.20 : x
  2. Step 2: Convert to fraction form
    31,864.32/47,761.92 = 20,779.20/x
  3. Step 3: Cross multiply
    31,864.32x = 47,761.92 × 20,779.20
  4. Step 4: Simplify right side
    31,864.32x = 992,454,488.06
  5. Step 5: Solve for x
    x = 992,454,488.06/31,864.32
  6. Step 6: Final answer
    x = 31,146.26

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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.