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Finding the Fourth Proportional to 41,614.98, 57,424.17 and 24,619.86

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Solution

The fourth proportional to 41,614.98, 57,424.17 and 24,619.86 is: 33,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.98 : 57,424.17 = 24,619.86 : x
  2. Step 2: Convert to fraction form
    41,614.98/57,424.17 = 24,619.86/x
  3. Step 3: Cross multiply
    41,614.98x = 57,424.17 × 24,619.86
  4. Step 4: Simplify right side
    41,614.98x = 1,413,775,026.02
  5. Step 5: Solve for x
    x = 1,413,775,026.02/41,614.98
  6. Step 6: Final answer
    x = 33,972.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.