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Finding the Fourth Proportional to 83,129.76, 124,694.64 and 20,800.26

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Solution

The fourth proportional to 83,129.76, 124,694.64 and 20,800.26 is: 31,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.76 : 124,694.64 = 20,800.26 : x
  2. Step 2: Convert to fraction form
    83,129.76/124,694.64 = 20,800.26/x
  3. Step 3: Cross multiply
    83,129.76x = 124,694.64 × 20,800.26
  4. Step 4: Simplify right side
    83,129.76x = 2,593,680,932.61
  5. Step 5: Solve for x
    x = 2,593,680,932.61/83,129.76
  6. Step 6: Final answer
    x = 31,200.39

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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.