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Finding the Fourth Proportional to 59,679.20, 82,350.84 and 34,524

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Solution

The fourth proportional to 59,679.20, 82,350.84 and 34,524 is: 47,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679.20 : 82,350.84 = 34,524 : x
  2. Step 2: Convert to fraction form
    59,679.20/82,350.84 = 34,524/x
  3. Step 3: Cross multiply
    59,679.20x = 82,350.84 × 34,524
  4. Step 4: Simplify right side
    59,679.20x = 2,843,080,400.16
  5. Step 5: Solve for x
    x = 2,843,080,400.16/59,679.20
  6. Step 6: Final answer
    x = 47,639.39

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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.