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Finding the Fourth Proportional to 59,515.74, 82,132.38 and 32,657.49

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Solution

The fourth proportional to 59,515.74, 82,132.38 and 32,657.49 is: 45,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,515.74 : 82,132.38 = 32,657.49 : x
  2. Step 2: Convert to fraction form
    59,515.74/82,132.38 = 32,657.49/x
  3. Step 3: Cross multiply
    59,515.74x = 82,132.38 × 32,657.49
  4. Step 4: Simplify right side
    59,515.74x = 2,682,237,378.53
  5. Step 5: Solve for x
    x = 2,682,237,378.53/59,515.74
  6. Step 6: Final answer
    x = 45,067.70

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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.