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Finding the Fourth Proportional to 71,510.44, 107,190.80 and 24,109.14

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Solution

The fourth proportional to 71,510.44, 107,190.80 and 24,109.14 is: 36,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510.44 : 107,190.80 = 24,109.14 : x
  2. Step 2: Convert to fraction form
    71,510.44/107,190.80 = 24,109.14/x
  3. Step 3: Cross multiply
    71,510.44x = 107,190.80 × 24,109.14
  4. Step 4: Simplify right side
    71,510.44x = 2,584,278,003.91
  5. Step 5: Solve for x
    x = 2,584,278,003.91/71,510.44
  6. Step 6: Final answer
    x = 36,138.47

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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.