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Finding the Fourth Proportional to 47,227.87, 70,849.47 and 13,951.28

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Solution

The fourth proportional to 47,227.87, 70,849.47 and 13,951.28 is: 20,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,227.87 : 70,849.47 = 13,951.28 : x
  2. Step 2: Convert to fraction form
    47,227.87/70,849.47 = 13,951.28/x
  3. Step 3: Cross multiply
    47,227.87x = 70,849.47 × 13,951.28
  4. Step 4: Simplify right side
    47,227.87x = 988,440,793.82
  5. Step 5: Solve for x
    x = 988,440,793.82/47,227.87
  6. Step 6: Final answer
    x = 20,929.19

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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.