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Finding the Fourth Proportional to 31,182.20, 43,031.47 and 17,035.05

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Solution

The fourth proportional to 31,182.20, 43,031.47 and 17,035.05 is: 23,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.20 : 43,031.47 = 17,035.05 : x
  2. Step 2: Convert to fraction form
    31,182.20/43,031.47 = 17,035.05/x
  3. Step 3: Cross multiply
    31,182.20x = 43,031.47 × 17,035.05
  4. Step 4: Simplify right side
    31,182.20x = 733,043,243.02
  5. Step 5: Solve for x
    x = 733,043,243.02/31,182.20
  6. Step 6: Final answer
    x = 23,508.39

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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.