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Finding the Fourth Proportional to 75,578.52, 104,298.92 and 42,044.52

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Solution

The fourth proportional to 75,578.52, 104,298.92 and 42,044.52 is: 58,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.52 : 104,298.92 = 42,044.52 : x
  2. Step 2: Convert to fraction form
    75,578.52/104,298.92 = 42,044.52/x
  3. Step 3: Cross multiply
    75,578.52x = 104,298.92 × 42,044.52
  4. Step 4: Simplify right side
    75,578.52x = 4,385,198,027.92
  5. Step 5: Solve for x
    x = 4,385,198,027.92/75,578.52
  6. Step 6: Final answer
    x = 58,021.75

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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.