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Finding the Fourth Proportional to 47,374.66, 71,024.50 and 17,789.20

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Solution

The fourth proportional to 47,374.66, 71,024.50 and 17,789.20 is: 26,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374.66 : 71,024.50 = 17,789.20 : x
  2. Step 2: Convert to fraction form
    47,374.66/71,024.50 = 17,789.20/x
  3. Step 3: Cross multiply
    47,374.66x = 71,024.50 × 17,789.20
  4. Step 4: Simplify right side
    47,374.66x = 1,263,468,591.33
  5. Step 5: Solve for x
    x = 1,263,468,591.33/47,374.66
  6. Step 6: Final answer
    x = 26,669.72

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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.