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Finding the Fourth Proportional to 83,841.93, 125,749.22 and 24,663.76

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Solution

The fourth proportional to 83,841.93, 125,749.22 and 24,663.76 is: 36,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.93 : 125,749.22 = 24,663.76 : x
  2. Step 2: Convert to fraction form
    83,841.93/125,749.22 = 24,663.76/x
  3. Step 3: Cross multiply
    83,841.93x = 125,749.22 × 24,663.76
  4. Step 4: Simplify right side
    83,841.93x = 3,101,447,830.20
  5. Step 5: Solve for x
    x = 3,101,447,830.20/83,841.93
  6. Step 6: Final answer
    x = 36,991.61

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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.