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Finding the Fourth Proportional to 41,343.15, 61,978.31 and 16,400.71

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Solution

The fourth proportional to 41,343.15, 61,978.31 and 16,400.71 is: 24,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,343.15 : 61,978.31 = 16,400.71 : x
  2. Step 2: Convert to fraction form
    41,343.15/61,978.31 = 16,400.71/x
  3. Step 3: Cross multiply
    41,343.15x = 61,978.31 × 16,400.71
  4. Step 4: Simplify right side
    41,343.15x = 1,016,488,484.55
  5. Step 5: Solve for x
    x = 1,016,488,484.55/41,343.15
  6. Step 6: Final answer
    x = 24,586.63

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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.