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Finding the Fourth Proportional to 98,481.61, 147,737 and 36,147.25

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Solution

The fourth proportional to 98,481.61, 147,737 and 36,147.25 is: 54,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,481.61 : 147,737 = 36,147.25 : x
  2. Step 2: Convert to fraction form
    98,481.61/147,737 = 36,147.25/x
  3. Step 3: Cross multiply
    98,481.61x = 147,737 × 36,147.25
  4. Step 4: Simplify right side
    98,481.61x = 5,340,286,273.25
  5. Step 5: Solve for x
    x = 5,340,286,273.25/98,481.61
  6. Step 6: Final answer
    x = 54,226.23

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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.