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Finding the Fourth Proportional to 83,731.64, 115,542.96 and 47,913.44

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Solution

The fourth proportional to 83,731.64, 115,542.96 and 47,913.44 is: 66,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,731.64 : 115,542.96 = 47,913.44 : x
  2. Step 2: Convert to fraction form
    83,731.64/115,542.96 = 47,913.44/x
  3. Step 3: Cross multiply
    83,731.64x = 115,542.96 × 47,913.44
  4. Step 4: Simplify right side
    83,731.64x = 5,536,060,681.38
  5. Step 5: Solve for x
    x = 5,536,060,681.38/83,731.64
  6. Step 6: Final answer
    x = 66,116.71

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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.