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Finding the Fourth Proportional to 41,177.76, 61,766.64 and 16,548

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Solution

The fourth proportional to 41,177.76, 61,766.64 and 16,548 is: 24,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177.76 : 61,766.64 = 16,548 : x
  2. Step 2: Convert to fraction form
    41,177.76/61,766.64 = 16,548/x
  3. Step 3: Cross multiply
    41,177.76x = 61,766.64 × 16,548
  4. Step 4: Simplify right side
    41,177.76x = 1,022,114,358.72
  5. Step 5: Solve for x
    x = 1,022,114,358.72/41,177.76
  6. Step 6: Final answer
    x = 24,822

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.