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Finding the Fourth Proportional to 47,921.70, 71,858.01 and 25,753.74

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Solution

The fourth proportional to 47,921.70, 71,858.01 and 25,753.74 is: 38,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921.70 : 71,858.01 = 25,753.74 : x
  2. Step 2: Convert to fraction form
    47,921.70/71,858.01 = 25,753.74/x
  3. Step 3: Cross multiply
    47,921.70x = 71,858.01 × 25,753.74
  4. Step 4: Simplify right side
    47,921.70x = 1,850,612,506.46
  5. Step 5: Solve for x
    x = 1,850,612,506.46/47,921.70
  6. Step 6: Final answer
    x = 38,617.42

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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.