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Finding the Fourth Proportional to 117,046.44, 175,538.34 and 32,801.88

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Solution

The fourth proportional to 117,046.44, 175,538.34 and 32,801.88 is: 49,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,046.44 : 175,538.34 = 32,801.88 : x
  2. Step 2: Convert to fraction form
    117,046.44/175,538.34 = 32,801.88/x
  3. Step 3: Cross multiply
    117,046.44x = 175,538.34 × 32,801.88
  4. Step 4: Simplify right side
    117,046.44x = 5,757,987,564.08
  5. Step 5: Solve for x
    x = 5,757,987,564.08/117,046.44
  6. Step 6: Final answer
    x = 49,194.04

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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.