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Finding the Fourth Proportional to 54,966.56, 82,448.46 and 15,523.11

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Solution

The fourth proportional to 54,966.56, 82,448.46 and 15,523.11 is: 23,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966.56 : 82,448.46 = 15,523.11 : x
  2. Step 2: Convert to fraction form
    54,966.56/82,448.46 = 15,523.11/x
  3. Step 3: Cross multiply
    54,966.56x = 82,448.46 × 15,523.11
  4. Step 4: Simplify right side
    54,966.56x = 1,279,856,513.91
  5. Step 5: Solve for x
    x = 1,279,856,513.91/54,966.56
  6. Step 6: Final answer
    x = 23,284.28

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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.