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Finding the Fourth Proportional to 82,002.80, 122,997 and 22,834.64

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Solution

The fourth proportional to 82,002.80, 122,997 and 22,834.64 is: 34,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.80 : 122,997 = 22,834.64 : x
  2. Step 2: Convert to fraction form
    82,002.80/122,997 = 22,834.64/x
  3. Step 3: Cross multiply
    82,002.80x = 122,997 × 22,834.64
  4. Step 4: Simplify right side
    82,002.80x = 2,808,592,216.08
  5. Step 5: Solve for x
    x = 2,808,592,216.08/82,002.80
  6. Step 6: Final answer
    x = 34,249.96

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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.