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Finding the Fourth Proportional to 31,001.92, 42,782.71 and 16,854.66

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Solution

The fourth proportional to 31,001.92, 42,782.71 and 16,854.66 is: 23,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.92 : 42,782.71 = 16,854.66 : x
  2. Step 2: Convert to fraction form
    31,001.92/42,782.71 = 16,854.66/x
  3. Step 3: Cross multiply
    31,001.92x = 42,782.71 × 16,854.66
  4. Step 4: Simplify right side
    31,001.92x = 721,088,030.93
  5. Step 5: Solve for x
    x = 721,088,030.93/31,001.92
  6. Step 6: Final answer
    x = 23,259.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.