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Finding the Fourth Proportional to 98,652.25, 147,979.75 and 32,092.73

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Solution

The fourth proportional to 98,652.25, 147,979.75 and 32,092.73 is: 48,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.25 : 147,979.75 = 32,092.73 : x
  2. Step 2: Convert to fraction form
    98,652.25/147,979.75 = 32,092.73/x
  3. Step 3: Cross multiply
    98,652.25x = 147,979.75 × 32,092.73
  4. Step 4: Simplify right side
    98,652.25x = 4,749,074,162.22
  5. Step 5: Solve for x
    x = 4,749,074,162.22/98,652.25
  6. Step 6: Final answer
    x = 48,139.54

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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.