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Finding the Fourth Proportional to 54,754.70, 82,132.05 and 48,849.80

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Solution

The fourth proportional to 54,754.70, 82,132.05 and 48,849.80 is: 73,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754.70 : 82,132.05 = 48,849.80 : x
  2. Step 2: Convert to fraction form
    54,754.70/82,132.05 = 48,849.80/x
  3. Step 3: Cross multiply
    54,754.70x = 82,132.05 × 48,849.80
  4. Step 4: Simplify right side
    54,754.70x = 4,012,134,216.09
  5. Step 5: Solve for x
    x = 4,012,134,216.09/54,754.70
  6. Step 6: Final answer
    x = 73,274.70

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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.