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Finding the Fourth Proportional to 82,144.58, 123,216.88 and 32,248.20

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Solution

The fourth proportional to 82,144.58, 123,216.88 and 32,248.20 is: 48,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,144.58 : 123,216.88 = 32,248.20 : x
  2. Step 2: Convert to fraction form
    82,144.58/123,216.88 = 32,248.20/x
  3. Step 3: Cross multiply
    82,144.58x = 123,216.88 × 32,248.20
  4. Step 4: Simplify right side
    82,144.58x = 3,973,522,589.62
  5. Step 5: Solve for x
    x = 3,973,522,589.62/82,144.58
  6. Step 6: Final answer
    x = 48,372.30

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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.