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Finding the Fourth Proportional to 41,385.90, 57,112.72 and 22,523

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Solution

The fourth proportional to 41,385.90, 57,112.72 and 22,523 is: 31,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,385.90 : 57,112.72 = 22,523 : x
  2. Step 2: Convert to fraction form
    41,385.90/57,112.72 = 22,523/x
  3. Step 3: Cross multiply
    41,385.90x = 57,112.72 × 22,523
  4. Step 4: Simplify right side
    41,385.90x = 1,286,349,792.56
  5. Step 5: Solve for x
    x = 1,286,349,792.56/41,385.90
  6. Step 6: Final answer
    x = 31,081.84

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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.