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Finding the Fourth Proportional to 81,761.82, 112,862.15 and 47,781.38

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Solution

The fourth proportional to 81,761.82, 112,862.15 and 47,781.38 is: 65,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.82 : 112,862.15 = 47,781.38 : x
  2. Step 2: Convert to fraction form
    81,761.82/112,862.15 = 47,781.38/x
  3. Step 3: Cross multiply
    81,761.82x = 112,862.15 × 47,781.38
  4. Step 4: Simplify right side
    81,761.82x = 5,392,709,276.77
  5. Step 5: Solve for x
    x = 5,392,709,276.77/81,761.82
  6. Step 6: Final answer
    x = 65,956.33

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Why These Related Problems?

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