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Finding the Fourth Proportional to 51,494.38, 71,063.32 and 29,138.38

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Solution

The fourth proportional to 51,494.38, 71,063.32 and 29,138.38 is: 40,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.38 : 71,063.32 = 29,138.38 : x
  2. Step 2: Convert to fraction form
    51,494.38/71,063.32 = 29,138.38/x
  3. Step 3: Cross multiply
    51,494.38x = 71,063.32 × 29,138.38
  4. Step 4: Simplify right side
    51,494.38x = 2,070,669,666.91
  5. Step 5: Solve for x
    x = 2,070,669,666.91/51,494.38
  6. Step 6: Final answer
    x = 40,211.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.