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Finding the Fourth Proportional to 110,471.58, 165,712.68 and 31,597.38

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Solution

The fourth proportional to 110,471.58, 165,712.68 and 31,597.38 is: 47,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.58 : 165,712.68 = 31,597.38 : x
  2. Step 2: Convert to fraction form
    110,471.58/165,712.68 = 31,597.38/x
  3. Step 3: Cross multiply
    110,471.58x = 165,712.68 × 31,597.38
  4. Step 4: Simplify right side
    110,471.58x = 5,236,086,520.78
  5. Step 5: Solve for x
    x = 5,236,086,520.78/110,471.58
  6. Step 6: Final answer
    x = 47,397.59

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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.