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Finding the Fourth Proportional to 71,418.13, 107,128.71 and 24,034.66

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Solution

The fourth proportional to 71,418.13, 107,128.71 and 24,034.66 is: 36,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,418.13 : 107,128.71 = 24,034.66 : x
  2. Step 2: Convert to fraction form
    71,418.13/107,128.71 = 24,034.66/x
  3. Step 3: Cross multiply
    71,418.13x = 107,128.71 × 24,034.66
  4. Step 4: Simplify right side
    71,418.13x = 2,574,801,853.27
  5. Step 5: Solve for x
    x = 2,574,801,853.27/71,418.13
  6. Step 6: Final answer
    x = 36,052.50

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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.