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Finding the Fourth Proportional to 82,409.80, 123,560.70 and 32,459.80

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Solution

The fourth proportional to 82,409.80, 123,560.70 and 32,459.80 is: 48,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.80 : 123,560.70 = 32,459.80 : x
  2. Step 2: Convert to fraction form
    82,409.80/123,560.70 = 32,459.80/x
  3. Step 3: Cross multiply
    82,409.80x = 123,560.70 × 32,459.80
  4. Step 4: Simplify right side
    82,409.80x = 4,010,755,609.86
  5. Step 5: Solve for x
    x = 4,010,755,609.86/82,409.80
  6. Step 6: Final answer
    x = 48,668.43

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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.