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Finding the Fourth Proportional to 41,642.25, 57,494.03 and 24,651.96

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Solution

The fourth proportional to 41,642.25, 57,494.03 and 24,651.96 is: 34,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.25 : 57,494.03 = 24,651.96 : x
  2. Step 2: Convert to fraction form
    41,642.25/57,494.03 = 24,651.96/x
  3. Step 3: Cross multiply
    41,642.25x = 57,494.03 × 24,651.96
  4. Step 4: Simplify right side
    41,642.25x = 1,417,340,527.80
  5. Step 5: Solve for x
    x = 1,417,340,527.80/41,642.25
  6. Step 6: Final answer
    x = 34,036.12

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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.