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Finding the Fourth Proportional to 110,231.52, 165,374.28 and 35,351.88

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Solution

The fourth proportional to 110,231.52, 165,374.28 and 35,351.88 is: 53,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,231.52 : 165,374.28 = 35,351.88 : x
  2. Step 2: Convert to fraction form
    110,231.52/165,374.28 = 35,351.88/x
  3. Step 3: Cross multiply
    110,231.52x = 165,374.28 × 35,351.88
  4. Step 4: Simplify right side
    110,231.52x = 5,846,291,701.65
  5. Step 5: Solve for x
    x = 5,846,291,701.65/110,231.52
  6. Step 6: Final answer
    x = 53,036.48

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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.