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Finding the Fourth Proportional to 27,605.68, 38,096.52 and 15,031.12

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Solution

The fourth proportional to 27,605.68, 38,096.52 and 15,031.12 is: 20,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.68 : 38,096.52 = 15,031.12 : x
  2. Step 2: Convert to fraction form
    27,605.68/38,096.52 = 15,031.12/x
  3. Step 3: Cross multiply
    27,605.68x = 38,096.52 × 15,031.12
  4. Step 4: Simplify right side
    27,605.68x = 572,633,363.70
  5. Step 5: Solve for x
    x = 572,633,363.70/27,605.68
  6. Step 6: Final answer
    x = 20,743.32

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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.