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Finding the Fourth Proportional to 31,182, 43,031.16 and 17,034.90

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Solution

The fourth proportional to 31,182, 43,031.16 and 17,034.90 is: 23,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182 : 43,031.16 = 17,034.90 : x
  2. Step 2: Convert to fraction form
    31,182/43,031.16 = 17,034.90/x
  3. Step 3: Cross multiply
    31,182x = 43,031.16 × 17,034.90
  4. Step 4: Simplify right side
    31,182x = 733,031,507.48
  5. Step 5: Solve for x
    x = 733,031,507.48/31,182
  6. Step 6: Final answer
    x = 23,508.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.