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Finding the Fourth Proportional to 41,314.49, 57,013.84 and 23,412.91

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Solution

The fourth proportional to 41,314.49, 57,013.84 and 23,412.91 is: 32,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.49 : 57,013.84 = 23,412.91 : x
  2. Step 2: Convert to fraction form
    41,314.49/57,013.84 = 23,412.91/x
  3. Step 3: Cross multiply
    41,314.49x = 57,013.84 × 23,412.91
  4. Step 4: Simplify right side
    41,314.49x = 1,334,859,502.54
  5. Step 5: Solve for x
    x = 1,334,859,502.54/41,314.49
  6. Step 6: Final answer
    x = 32,309.72

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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.