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Finding the Fourth Proportional to 119,843, 179,764.50 and 32,291

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Solution

The fourth proportional to 119,843, 179,764.50 and 32,291 is: 48,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,843 : 179,764.50 = 32,291 : x
  2. Step 2: Convert to fraction form
    119,843/179,764.50 = 32,291/x
  3. Step 3: Cross multiply
    119,843x = 179,764.50 × 32,291
  4. Step 4: Simplify right side
    119,843x = 5,804,775,469.50
  5. Step 5: Solve for x
    x = 5,804,775,469.50/119,843
  6. Step 6: Final answer
    x = 48,436.50

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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.