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Finding the Fourth Proportional to 69,098.38, 103,581.95 and 27,005.46

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Solution

The fourth proportional to 69,098.38, 103,581.95 and 27,005.46 is: 40,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098.38 : 103,581.95 = 27,005.46 : x
  2. Step 2: Convert to fraction form
    69,098.38/103,581.95 = 27,005.46/x
  3. Step 3: Cross multiply
    69,098.38x = 103,581.95 × 27,005.46
  4. Step 4: Simplify right side
    69,098.38x = 2,797,278,207.45
  5. Step 5: Solve for x
    x = 2,797,278,207.45/69,098.38
  6. Step 6: Final answer
    x = 40,482.54

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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.