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Finding the Fourth Proportional to 83,471.76, 125,050.77 and 41,302.89

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Solution

The fourth proportional to 83,471.76, 125,050.77 and 41,302.89 is: 61,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.76 : 125,050.77 = 41,302.89 : x
  2. Step 2: Convert to fraction form
    83,471.76/125,050.77 = 41,302.89/x
  3. Step 3: Cross multiply
    83,471.76x = 125,050.77 × 41,302.89
  4. Step 4: Simplify right side
    83,471.76x = 5,164,958,197.73
  5. Step 5: Solve for x
    x = 5,164,958,197.73/83,471.76
  6. Step 6: Final answer
    x = 61,876.71

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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.