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Finding the Fourth Proportional to 75,532.92, 113,292.84 and 35,542.42

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Solution

The fourth proportional to 75,532.92, 113,292.84 and 35,542.42 is: 53,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,532.92 : 113,292.84 = 35,542.42 : x
  2. Step 2: Convert to fraction form
    75,532.92/113,292.84 = 35,542.42/x
  3. Step 3: Cross multiply
    75,532.92x = 113,292.84 × 35,542.42
  4. Step 4: Simplify right side
    75,532.92x = 4,026,701,702.27
  5. Step 5: Solve for x
    x = 4,026,701,702.27/75,532.92
  6. Step 6: Final answer
    x = 53,310.55

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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.