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Finding the Fourth Proportional to 110,046.18, 165,067.36 and 35,165.86

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Solution

The fourth proportional to 110,046.18, 165,067.36 and 35,165.86 is: 52,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046.18 : 165,067.36 = 35,165.86 : x
  2. Step 2: Convert to fraction form
    110,046.18/165,067.36 = 35,165.86/x
  3. Step 3: Cross multiply
    110,046.18x = 165,067.36 × 35,165.86
  4. Step 4: Simplify right side
    110,046.18x = 5,804,735,672.33
  5. Step 5: Solve for x
    x = 5,804,735,672.33/110,046.18
  6. Step 6: Final answer
    x = 52,748.18

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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.