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Finding the Fourth Proportional to 59,797.50, 82,524.30 and 32,940

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Solution

The fourth proportional to 59,797.50, 82,524.30 and 32,940 is: 45,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,797.50 : 82,524.30 = 32,940 : x
  2. Step 2: Convert to fraction form
    59,797.50/82,524.30 = 32,940/x
  3. Step 3: Cross multiply
    59,797.50x = 82,524.30 × 32,940
  4. Step 4: Simplify right side
    59,797.50x = 2,718,350,442
  5. Step 5: Solve for x
    x = 2,718,350,442/59,797.50
  6. Step 6: Final answer
    x = 45,459.27

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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.