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Finding the Fourth Proportional to 98,132.61, 147,198.92 and 27,055.80

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Solution

The fourth proportional to 98,132.61, 147,198.92 and 27,055.80 is: 40,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,132.61 : 147,198.92 = 27,055.80 : x
  2. Step 2: Convert to fraction form
    98,132.61/147,198.92 = 27,055.80/x
  3. Step 3: Cross multiply
    98,132.61x = 147,198.92 × 27,055.80
  4. Step 4: Simplify right side
    98,132.61x = 3,982,584,142.65
  5. Step 5: Solve for x
    x = 3,982,584,142.65/98,132.61
  6. Step 6: Final answer
    x = 40,583.70

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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.