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Finding the Fourth Proportional to 31,178.47, 43,027.47 and 17,031.43

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Solution

The fourth proportional to 31,178.47, 43,027.47 and 17,031.43 is: 23,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.47 : 43,027.47 = 17,031.43 : x
  2. Step 2: Convert to fraction form
    31,178.47/43,027.47 = 17,031.43/x
  3. Step 3: Cross multiply
    31,178.47x = 43,027.47 × 17,031.43
  4. Step 4: Simplify right side
    31,178.47x = 732,819,343.38
  5. Step 5: Solve for x
    x = 732,819,343.38/31,178.47
  6. Step 6: Final answer
    x = 23,504.02

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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.