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Finding the Fourth Proportional to 54,248, 81,177.60 and 32,073.44

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Solution

The fourth proportional to 54,248, 81,177.60 and 32,073.44 is: 47,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,248 : 81,177.60 = 32,073.44 : x
  2. Step 2: Convert to fraction form
    54,248/81,177.60 = 32,073.44/x
  3. Step 3: Cross multiply
    54,248x = 81,177.60 × 32,073.44
  4. Step 4: Simplify right side
    54,248x = 2,603,644,882.94
  5. Step 5: Solve for x
    x = 2,603,644,882.94/54,248
  6. Step 6: Final answer
    x = 47,995.22

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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.