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Finding the Fourth Proportional to 75,883.62, 113,882.34 and 28,545.30

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Solution

The fourth proportional to 75,883.62, 113,882.34 and 28,545.30 is: 42,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.62 : 113,882.34 = 28,545.30 : x
  2. Step 2: Convert to fraction form
    75,883.62/113,882.34 = 28,545.30/x
  3. Step 3: Cross multiply
    75,883.62x = 113,882.34 × 28,545.30
  4. Step 4: Simplify right side
    75,883.62x = 3,250,805,560.00
  5. Step 5: Solve for x
    x = 3,250,805,560.00/75,883.62
  6. Step 6: Final answer
    x = 42,839.36

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1.5x scale

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.