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Finding the Fourth Proportional to 54,708.91, 81,956.24 and 48,758.24

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Solution

The fourth proportional to 54,708.91, 81,956.24 and 48,758.24 is: 73,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.91 : 81,956.24 = 48,758.24 : x
  2. Step 2: Convert to fraction form
    54,708.91/81,956.24 = 48,758.24/x
  3. Step 3: Cross multiply
    54,708.91x = 81,956.24 × 48,758.24
  4. Step 4: Simplify right side
    54,708.91x = 3,996,042,163.36
  5. Step 5: Solve for x
    x = 3,996,042,163.36/54,708.91
  6. Step 6: Final answer
    x = 73,041.89

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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.