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Finding the Fourth Proportional to 47,614.64, 71,425.32 and 12,554

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Solution

The fourth proportional to 47,614.64, 71,425.32 and 12,554 is: 18,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,614.64 : 71,425.32 = 12,554 : x
  2. Step 2: Convert to fraction form
    47,614.64/71,425.32 = 12,554/x
  3. Step 3: Cross multiply
    47,614.64x = 71,425.32 × 12,554
  4. Step 4: Simplify right side
    47,614.64x = 896,673,467.28
  5. Step 5: Solve for x
    x = 896,673,467.28/47,614.64
  6. Step 6: Final answer
    x = 18,831.89

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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.