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Finding the Fourth Proportional to 41,672.52, 57,518.10 and 23,778

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Solution

The fourth proportional to 41,672.52, 57,518.10 and 23,778 is: 32,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672.52 : 57,518.10 = 23,778 : x
  2. Step 2: Convert to fraction form
    41,672.52/57,518.10 = 23,778/x
  3. Step 3: Cross multiply
    41,672.52x = 57,518.10 × 23,778
  4. Step 4: Simplify right side
    41,672.52x = 1,367,665,381.80
  5. Step 5: Solve for x
    x = 1,367,665,381.80/41,672.52
  6. Step 6: Final answer
    x = 32,819.36

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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.