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Finding the Fourth Proportional to 98,863.71, 148,292.15 and 27,786.90

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Solution

The fourth proportional to 98,863.71, 148,292.15 and 27,786.90 is: 41,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863.71 : 148,292.15 = 27,786.90 : x
  2. Step 2: Convert to fraction form
    98,863.71/148,292.15 = 27,786.90/x
  3. Step 3: Cross multiply
    98,863.71x = 148,292.15 × 27,786.90
  4. Step 4: Simplify right side
    98,863.71x = 4,120,579,716.30
  5. Step 5: Solve for x
    x = 4,120,579,716.30/98,863.71
  6. Step 6: Final answer
    x = 41,679.40

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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.