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Finding the Fourth Proportional to 83,882.76, 125,749.06 and 30,537.10

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Solution

The fourth proportional to 83,882.76, 125,749.06 and 30,537.10 is: 45,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.76 : 125,749.06 = 30,537.10 : x
  2. Step 2: Convert to fraction form
    83,882.76/125,749.06 = 30,537.10/x
  3. Step 3: Cross multiply
    83,882.76x = 125,749.06 × 30,537.10
  4. Step 4: Simplify right side
    83,882.76x = 3,840,011,700.97
  5. Step 5: Solve for x
    x = 3,840,011,700.97/83,882.76
  6. Step 6: Final answer
    x = 45,778.32

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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.