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Finding the Fourth Proportional to 54,522.48, 81,785.34 and 15,082.50

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Solution

The fourth proportional to 54,522.48, 81,785.34 and 15,082.50 is: 22,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.48 : 81,785.34 = 15,082.50 : x
  2. Step 2: Convert to fraction form
    54,522.48/81,785.34 = 15,082.50/x
  3. Step 3: Cross multiply
    54,522.48x = 81,785.34 × 15,082.50
  4. Step 4: Simplify right side
    54,522.48x = 1,233,527,390.55
  5. Step 5: Solve for x
    x = 1,233,527,390.55/54,522.48
  6. Step 6: Final answer
    x = 22,624.20

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Why These Related Problems?

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