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Finding the Fourth Proportional to 83,957.61, 115,855.11 and 47,654.78

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Solution

The fourth proportional to 83,957.61, 115,855.11 and 47,654.78 is: 65,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.61 : 115,855.11 = 47,654.78 : x
  2. Step 2: Convert to fraction form
    83,957.61/115,855.11 = 47,654.78/x
  3. Step 3: Cross multiply
    83,957.61x = 115,855.11 × 47,654.78
  4. Step 4: Simplify right side
    83,957.61x = 5,521,049,851.34
  5. Step 5: Solve for x
    x = 5,521,049,851.34/83,957.61
  6. Step 6: Final answer
    x = 65,759.97

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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.