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Finding the Fourth Proportional to 31,105.52, 43,107.14 and 30,514.76

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Solution

The fourth proportional to 31,105.52, 43,107.14 and 30,514.76 is: 42,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.52 : 43,107.14 = 30,514.76 : x
  2. Step 2: Convert to fraction form
    31,105.52/43,107.14 = 30,514.76/x
  3. Step 3: Cross multiply
    31,105.52x = 43,107.14 × 30,514.76
  4. Step 4: Simplify right side
    31,105.52x = 1,315,404,031.39
  5. Step 5: Solve for x
    x = 1,315,404,031.39/31,105.52
  6. Step 6: Final answer
    x = 42,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.