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Finding the Fourth Proportional to 50,676, 76,024.08 and 15,614.16

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Solution

The fourth proportional to 50,676, 76,024.08 and 15,614.16 is: 23,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676 : 76,024.08 = 15,614.16 : x
  2. Step 2: Convert to fraction form
    50,676/76,024.08 = 15,614.16/x
  3. Step 3: Cross multiply
    50,676x = 76,024.08 × 15,614.16
  4. Step 4: Simplify right side
    50,676x = 1,187,052,148.97
  5. Step 5: Solve for x
    x = 1,187,052,148.97/50,676
  6. Step 6: Final answer
    x = 23,424.35

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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.