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Finding the Fourth Proportional to 83,862.81, 125,794.22 and 57,487.59

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Solution

The fourth proportional to 83,862.81, 125,794.22 and 57,487.59 is: 86,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,862.81 : 125,794.22 = 57,487.59 : x
  2. Step 2: Convert to fraction form
    83,862.81/125,794.22 = 57,487.59/x
  3. Step 3: Cross multiply
    83,862.81x = 125,794.22 × 57,487.59
  4. Step 4: Simplify right side
    83,862.81x = 7,231,606,543.73
  5. Step 5: Solve for x
    x = 7,231,606,543.73/83,862.81
  6. Step 6: Final answer
    x = 86,231.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.