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Finding the Fourth Proportional to 83,125.80, 124,513.20 and 55,059.30

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Solution

The fourth proportional to 83,125.80, 124,513.20 and 55,059.30 is: 82,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,125.80 : 124,513.20 = 55,059.30 : x
  2. Step 2: Convert to fraction form
    83,125.80/124,513.20 = 55,059.30/x
  3. Step 3: Cross multiply
    83,125.80x = 124,513.20 × 55,059.30
  4. Step 4: Simplify right side
    83,125.80x = 6,855,609,632.76
  5. Step 5: Solve for x
    x = 6,855,609,632.76/83,125.80
  6. Step 6: Final answer
    x = 82,472.71

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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.