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Finding the Fourth Proportional to 82,002.60, 123,003.90 and 52,453.80

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Solution

The fourth proportional to 82,002.60, 123,003.90 and 52,453.80 is: 78,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.60 : 123,003.90 = 52,453.80 : x
  2. Step 2: Convert to fraction form
    82,002.60/123,003.90 = 52,453.80/x
  3. Step 3: Cross multiply
    82,002.60x = 123,003.90 × 52,453.80
  4. Step 4: Simplify right side
    82,002.60x = 6,452,021,969.82
  5. Step 5: Solve for x
    x = 6,452,021,969.82/82,002.60
  6. Step 6: Final answer
    x = 78,680.70

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1.5x scale

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.