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Finding the Fourth Proportional to 83,776.46, 125,673.85 and 36,358.96

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Solution

The fourth proportional to 83,776.46, 125,673.85 and 36,358.96 is: 54,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776.46 : 125,673.85 = 36,358.96 : x
  2. Step 2: Convert to fraction form
    83,776.46/125,673.85 = 36,358.96/x
  3. Step 3: Cross multiply
    83,776.46x = 125,673.85 × 36,358.96
  4. Step 4: Simplify right side
    83,776.46x = 4,569,369,856.83
  5. Step 5: Solve for x
    x = 4,569,369,856.83/83,776.46
  6. Step 6: Final answer
    x = 54,542.41

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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.