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Finding the Fourth Proportional to 27,641.46, 38,143.19 and 17,031.27

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Solution

The fourth proportional to 27,641.46, 38,143.19 and 17,031.27 is: 23,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.46 : 38,143.19 = 17,031.27 : x
  2. Step 2: Convert to fraction form
    27,641.46/38,143.19 = 17,031.27/x
  3. Step 3: Cross multiply
    27,641.46x = 38,143.19 × 17,031.27
  4. Step 4: Simplify right side
    27,641.46x = 649,627,010.13
  5. Step 5: Solve for x
    x = 649,627,010.13/27,641.46
  6. Step 6: Final answer
    x = 23,501.91

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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.