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Finding the Fourth Proportional to 83,655.17, 115,426.68 and 49,658.86

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Solution

The fourth proportional to 83,655.17, 115,426.68 and 49,658.86 is: 68,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.17 : 115,426.68 = 49,658.86 : x
  2. Step 2: Convert to fraction form
    83,655.17/115,426.68 = 49,658.86/x
  3. Step 3: Cross multiply
    83,655.17x = 115,426.68 × 49,658.86
  4. Step 4: Simplify right side
    83,655.17x = 5,731,957,342.38
  5. Step 5: Solve for x
    x = 5,731,957,342.38/83,655.17
  6. Step 6: Final answer
    x = 68,518.87

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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.