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Finding the Fourth Proportional to 98,471.76, 147,694.68 and 27,399.12

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Solution

The fourth proportional to 98,471.76, 147,694.68 and 27,399.12 is: 41,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.76 : 147,694.68 = 27,399.12 : x
  2. Step 2: Convert to fraction form
    98,471.76/147,694.68 = 27,399.12/x
  3. Step 3: Cross multiply
    98,471.76x = 147,694.68 × 27,399.12
  4. Step 4: Simplify right side
    98,471.76x = 4,046,704,260.68
  5. Step 5: Solve for x
    x = 4,046,704,260.68/98,471.76
  6. Step 6: Final answer
    x = 41,095.07

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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.