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Finding the Fourth Proportional to 41,412.60, 57,149.34 and 22,549.74

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Solution

The fourth proportional to 41,412.60, 57,149.34 and 22,549.74 is: 31,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.60 : 57,149.34 = 22,549.74 : x
  2. Step 2: Convert to fraction form
    41,412.60/57,149.34 = 22,549.74/x
  3. Step 3: Cross multiply
    41,412.60x = 57,149.34 × 22,549.74
  4. Step 4: Simplify right side
    41,412.60x = 1,288,702,758.17
  5. Step 5: Solve for x
    x = 1,288,702,758.17/41,412.60
  6. Step 6: Final answer
    x = 31,118.62

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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.