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Finding the Fourth Proportional to 82,480.80, 123,667.20 and 32,530.80

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Solution

The fourth proportional to 82,480.80, 123,667.20 and 32,530.80 is: 48,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.80 : 123,667.20 = 32,530.80 : x
  2. Step 2: Convert to fraction form
    82,480.80/123,667.20 = 32,530.80/x
  3. Step 3: Cross multiply
    82,480.80x = 123,667.20 × 32,530.80
  4. Step 4: Simplify right side
    82,480.80x = 4,022,992,949.76
  5. Step 5: Solve for x
    x = 4,022,992,949.76/82,480.80
  6. Step 6: Final answer
    x = 48,774.90

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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.