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Finding the Fourth Proportional to 41,433.30, 62,158.95 and 15,138

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Solution

The fourth proportional to 41,433.30, 62,158.95 and 15,138 is: 22,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,433.30 : 62,158.95 = 15,138 : x
  2. Step 2: Convert to fraction form
    41,433.30/62,158.95 = 15,138/x
  3. Step 3: Cross multiply
    41,433.30x = 62,158.95 × 15,138
  4. Step 4: Simplify right side
    41,433.30x = 940,962,185.10
  5. Step 5: Solve for x
    x = 940,962,185.10/41,433.30
  6. Step 6: Final answer
    x = 22,710.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.