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Finding the Fourth Proportional to 75,671.76, 113,508.56 and 25,752.88

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Solution

The fourth proportional to 75,671.76, 113,508.56 and 25,752.88 is: 38,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.76 : 113,508.56 = 25,752.88 : x
  2. Step 2: Convert to fraction form
    75,671.76/113,508.56 = 25,752.88/x
  3. Step 3: Cross multiply
    75,671.76x = 113,508.56 × 25,752.88
  4. Step 4: Simplify right side
    75,671.76x = 2,923,172,324.65
  5. Step 5: Solve for x
    x = 2,923,172,324.65/75,671.76
  6. Step 6: Final answer
    x = 38,629.63

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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.