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Finding the Fourth Proportional to 39,819.38, 54,952.03 and 22,826.84

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Solution

The fourth proportional to 39,819.38, 54,952.03 and 22,826.84 is: 31,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819.38 : 54,952.03 = 22,826.84 : x
  2. Step 2: Convert to fraction form
    39,819.38/54,952.03 = 22,826.84/x
  3. Step 3: Cross multiply
    39,819.38x = 54,952.03 × 22,826.84
  4. Step 4: Simplify right side
    39,819.38x = 1,254,381,156.33
  5. Step 5: Solve for x
    x = 1,254,381,156.33/39,819.38
  6. Step 6: Final answer
    x = 31,501.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.