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Finding the Fourth Proportional to 83,500.34, 125,249.45 and 20,320.57

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Solution

The fourth proportional to 83,500.34, 125,249.45 and 20,320.57 is: 30,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500.34 : 125,249.45 = 20,320.57 : x
  2. Step 2: Convert to fraction form
    83,500.34/125,249.45 = 20,320.57/x
  3. Step 3: Cross multiply
    83,500.34x = 125,249.45 × 20,320.57
  4. Step 4: Simplify right side
    83,500.34x = 2,545,140,266.99
  5. Step 5: Solve for x
    x = 2,545,140,266.99/83,500.34
  6. Step 6: Final answer
    x = 30,480.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.