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Finding the Fourth Proportional to 71,814, 107,741.49 and 24,439.47

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Solution

The fourth proportional to 71,814, 107,741.49 and 24,439.47 is: 36,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814 : 107,741.49 = 24,439.47 : x
  2. Step 2: Convert to fraction form
    71,814/107,741.49 = 24,439.47/x
  3. Step 3: Cross multiply
    71,814x = 107,741.49 × 24,439.47
  4. Step 4: Simplify right side
    71,814x = 2,633,144,912.61
  5. Step 5: Solve for x
    x = 2,633,144,912.61/71,814
  6. Step 6: Final answer
    x = 36,666.18

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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.