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Finding the Fourth Proportional to 27,165.38, 37,488.32 and 15,842.69

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Solution

The fourth proportional to 27,165.38, 37,488.32 and 15,842.69 is: 21,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.38 : 37,488.32 = 15,842.69 : x
  2. Step 2: Convert to fraction form
    27,165.38/37,488.32 = 15,842.69/x
  3. Step 3: Cross multiply
    27,165.38x = 37,488.32 × 15,842.69
  4. Step 4: Simplify right side
    27,165.38x = 593,915,765.72
  5. Step 5: Solve for x
    x = 593,915,765.72/27,165.38
  6. Step 6: Final answer
    x = 21,862.97

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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.