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Finding the Fourth Proportional to 110,227.32, 165,342.33 and 31,341.42

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Solution

The fourth proportional to 110,227.32, 165,342.33 and 31,341.42 is: 47,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,227.32 : 165,342.33 = 31,341.42 : x
  2. Step 2: Convert to fraction form
    110,227.32/165,342.33 = 31,341.42/x
  3. Step 3: Cross multiply
    110,227.32x = 165,342.33 × 31,341.42
  4. Step 4: Simplify right side
    110,227.32x = 5,182,063,408.31
  5. Step 5: Solve for x
    x = 5,182,063,408.31/110,227.32
  6. Step 6: Final answer
    x = 47,012.51

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