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Finding the Fourth Proportional to 110,356.97, 165,536.97 and 31,471.20

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Solution

The fourth proportional to 110,356.97, 165,536.97 and 31,471.20 is: 47,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.97 : 165,536.97 = 31,471.20 : x
  2. Step 2: Convert to fraction form
    110,356.97/165,536.97 = 31,471.20/x
  3. Step 3: Cross multiply
    110,356.97x = 165,536.97 × 31,471.20
  4. Step 4: Simplify right side
    110,356.97x = 5,209,646,932.91
  5. Step 5: Solve for x
    x = 5,209,646,932.91/110,356.97
  6. Step 6: Final answer
    x = 47,207.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.