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Finding the Fourth Proportional to 98,127.62, 147,165 and 27,033.32

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Solution

The fourth proportional to 98,127.62, 147,165 and 27,033.32 is: 40,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,127.62 : 147,165 = 27,033.32 : x
  2. Step 2: Convert to fraction form
    98,127.62/147,165 = 27,033.32/x
  3. Step 3: Cross multiply
    98,127.62x = 147,165 × 27,033.32
  4. Step 4: Simplify right side
    98,127.62x = 3,978,358,537.80
  5. Step 5: Solve for x
    x = 3,978,358,537.80/98,127.62
  6. Step 6: Final answer
    x = 40,542.70

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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.