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Finding the Fourth Proportional to 41,139.62, 61,709.42 and 9,974.87

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Solution

The fourth proportional to 41,139.62, 61,709.42 and 9,974.87 is: 14,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,139.62 : 61,709.42 = 9,974.87 : x
  2. Step 2: Convert to fraction form
    41,139.62/61,709.42 = 9,974.87/x
  3. Step 3: Cross multiply
    41,139.62x = 61,709.42 × 9,974.87
  4. Step 4: Simplify right side
    41,139.62x = 615,543,083.85
  5. Step 5: Solve for x
    x = 615,543,083.85/41,139.62
  6. Step 6: Final answer
    x = 14,962.30

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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.