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Finding the Fourth Proportional to 40,049.16, 55,266.84 and 22,143.70

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Solution

The fourth proportional to 40,049.16, 55,266.84 and 22,143.70 is: 30,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049.16 : 55,266.84 = 22,143.70 : x
  2. Step 2: Convert to fraction form
    40,049.16/55,266.84 = 22,143.70/x
  3. Step 3: Cross multiply
    40,049.16x = 55,266.84 × 22,143.70
  4. Step 4: Simplify right side
    40,049.16x = 1,223,812,324.91
  5. Step 5: Solve for x
    x = 1,223,812,324.91/40,049.16
  6. Step 6: Final answer
    x = 30,557.75

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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.