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Finding the Fourth Proportional to 75,920.52, 104,771.10 and 41,929.85

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Solution

The fourth proportional to 75,920.52, 104,771.10 and 41,929.85 is: 57,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920.52 : 104,771.10 = 41,929.85 : x
  2. Step 2: Convert to fraction form
    75,920.52/104,771.10 = 41,929.85/x
  3. Step 3: Cross multiply
    75,920.52x = 104,771.10 × 41,929.85
  4. Step 4: Simplify right side
    75,920.52x = 4,393,036,572.72
  5. Step 5: Solve for x
    x = 4,393,036,572.72/75,920.52
  6. Step 6: Final answer
    x = 57,863.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.