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Finding the Fourth Proportional to 79,882.25, 119,825.54 and 24,478.25

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Solution

The fourth proportional to 79,882.25, 119,825.54 and 24,478.25 is: 36,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,882.25 : 119,825.54 = 24,478.25 : x
  2. Step 2: Convert to fraction form
    79,882.25/119,825.54 = 24,478.25/x
  3. Step 3: Cross multiply
    79,882.25x = 119,825.54 × 24,478.25
  4. Step 4: Simplify right side
    79,882.25x = 2,933,119,402.11
  5. Step 5: Solve for x
    x = 2,933,119,402.11/79,882.25
  6. Step 6: Final answer
    x = 36,718.04

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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.