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Finding the Fourth Proportional to 41,414.84, 57,154.88 and 31,187.57

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Solution

The fourth proportional to 41,414.84, 57,154.88 and 31,187.57 is: 43,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414.84 : 57,154.88 = 31,187.57 : x
  2. Step 2: Convert to fraction form
    41,414.84/57,154.88 = 31,187.57/x
  3. Step 3: Cross multiply
    41,414.84x = 57,154.88 × 31,187.57
  4. Step 4: Simplify right side
    41,414.84x = 1,782,521,613.04
  5. Step 5: Solve for x
    x = 1,782,521,613.04/41,414.84
  6. Step 6: Final answer
    x = 43,040.65

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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.