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Finding the Fourth Proportional to 98,751.78, 148,143.12 and 32,176.44

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Solution

The fourth proportional to 98,751.78, 148,143.12 and 32,176.44 is: 48,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751.78 : 148,143.12 = 32,176.44 : x
  2. Step 2: Convert to fraction form
    98,751.78/148,143.12 = 32,176.44/x
  3. Step 3: Cross multiply
    98,751.78x = 148,143.12 × 32,176.44
  4. Step 4: Simplify right side
    98,751.78x = 4,766,718,212.09
  5. Step 5: Solve for x
    x = 4,766,718,212.09/98,751.78
  6. Step 6: Final answer
    x = 48,269.69

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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.