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Finding the Fourth Proportional to 51,742.38, 71,404.38 and 30,246.90

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Solution

The fourth proportional to 51,742.38, 71,404.38 and 30,246.90 is: 41,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742.38 : 71,404.38 = 30,246.90 : x
  2. Step 2: Convert to fraction form
    51,742.38/71,404.38 = 30,246.90/x
  3. Step 3: Cross multiply
    51,742.38x = 71,404.38 × 30,246.90
  4. Step 4: Simplify right side
    51,742.38x = 2,159,761,141.42
  5. Step 5: Solve for x
    x = 2,159,761,141.42/51,742.38
  6. Step 6: Final answer
    x = 41,740.66

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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.