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Finding the Fourth Proportional to 34,742.52, 47,951.14 and 19,838.52

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Solution

The fourth proportional to 34,742.52, 47,951.14 and 19,838.52 is: 27,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.52 : 47,951.14 = 19,838.52 : x
  2. Step 2: Convert to fraction form
    34,742.52/47,951.14 = 19,838.52/x
  3. Step 3: Cross multiply
    34,742.52x = 47,951.14 × 19,838.52
  4. Step 4: Simplify right side
    34,742.52x = 951,279,649.91
  5. Step 5: Solve for x
    x = 951,279,649.91/34,742.52
  6. Step 6: Final answer
    x = 27,380.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.