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Finding the Fourth Proportional to 98,645.78, 147,976.78 and 32,084.44

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Solution

The fourth proportional to 98,645.78, 147,976.78 and 32,084.44 is: 48,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,645.78 : 147,976.78 = 32,084.44 : x
  2. Step 2: Convert to fraction form
    98,645.78/147,976.78 = 32,084.44/x
  3. Step 3: Cross multiply
    98,645.78x = 147,976.78 × 32,084.44
  4. Step 4: Simplify right side
    98,645.78x = 4,747,752,119.30
  5. Step 5: Solve for x
    x = 4,747,752,119.30/98,645.78
  6. Step 6: Final answer
    x = 48,129.30

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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.