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Finding the Fourth Proportional to 75,253.52, 112,882.67 and 27,880.47

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Solution

The fourth proportional to 75,253.52, 112,882.67 and 27,880.47 is: 41,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253.52 : 112,882.67 = 27,880.47 : x
  2. Step 2: Convert to fraction form
    75,253.52/112,882.67 = 27,880.47/x
  3. Step 3: Cross multiply
    75,253.52x = 112,882.67 × 27,880.47
  4. Step 4: Simplify right side
    75,253.52x = 3,147,221,755.05
  5. Step 5: Solve for x
    x = 3,147,221,755.05/75,253.52
  6. Step 6: Final answer
    x = 41,821.59

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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.