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Finding the Fourth Proportional to 18,097.92, 27,146.91 and 4,949.31

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Solution

The fourth proportional to 18,097.92, 27,146.91 and 4,949.31 is: 7,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.92 : 27,146.91 = 4,949.31 : x
  2. Step 2: Convert to fraction form
    18,097.92/27,146.91 = 4,949.31/x
  3. Step 3: Cross multiply
    18,097.92x = 27,146.91 × 4,949.31
  4. Step 4: Simplify right side
    18,097.92x = 134,358,473.13
  5. Step 5: Solve for x
    x = 134,358,473.13/18,097.92
  6. Step 6: Final answer
    x = 7,423.97

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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.