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Finding the Fourth Proportional to 82,002.40, 123,003.60 and 22,847.20

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Solution

The fourth proportional to 82,002.40, 123,003.60 and 22,847.20 is: 34,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.40 : 123,003.60 = 22,847.20 : x
  2. Step 2: Convert to fraction form
    82,002.40/123,003.60 = 22,847.20/x
  3. Step 3: Cross multiply
    82,002.40x = 123,003.60 × 22,847.20
  4. Step 4: Simplify right side
    82,002.40x = 2,810,287,849.92
  5. Step 5: Solve for x
    x = 2,810,287,849.92/82,002.40
  6. Step 6: Final answer
    x = 34,270.80

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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.