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Finding the Fourth Proportional to 83,893.50, 115,773.05 and 46,167.75

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Solution

The fourth proportional to 83,893.50, 115,773.05 and 46,167.75 is: 63,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.50 : 115,773.05 = 46,167.75 : x
  2. Step 2: Convert to fraction form
    83,893.50/115,773.05 = 46,167.75/x
  3. Step 3: Cross multiply
    83,893.50x = 115,773.05 × 46,167.75
  4. Step 4: Simplify right side
    83,893.50x = 5,344,981,491.38
  5. Step 5: Solve for x
    x = 5,344,981,491.38/83,893.50
  6. Step 6: Final answer
    x = 63,711.51

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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.