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Finding the Fourth Proportional to 41,605.29, 57,443.01 and 24,615

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Solution

The fourth proportional to 41,605.29, 57,443.01 and 24,615 is: 33,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,605.29 : 57,443.01 = 24,615 : x
  2. Step 2: Convert to fraction form
    41,605.29/57,443.01 = 24,615/x
  3. Step 3: Cross multiply
    41,605.29x = 57,443.01 × 24,615
  4. Step 4: Simplify right side
    41,605.29x = 1,413,959,691.15
  5. Step 5: Solve for x
    x = 1,413,959,691.15/41,605.29
  6. Step 6: Final answer
    x = 33,985.09

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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.