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Finding the Fourth Proportional to 83,800.85, 125,674.61 and 27,630.47

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Solution

The fourth proportional to 83,800.85, 125,674.61 and 27,630.47 is: 41,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,800.85 : 125,674.61 = 27,630.47 : x
  2. Step 2: Convert to fraction form
    83,800.85/125,674.61 = 27,630.47/x
  3. Step 3: Cross multiply
    83,800.85x = 125,674.61 × 27,630.47
  4. Step 4: Simplify right side
    83,800.85x = 3,472,448,717.40
  5. Step 5: Solve for x
    x = 3,472,448,717.40/83,800.85
  6. Step 6: Final answer
    x = 41,436.92

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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.