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Finding the Fourth Proportional to 98,936.35, 148,404.52 and 27,858.96

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Solution

The fourth proportional to 98,936.35, 148,404.52 and 27,858.96 is: 41,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,936.35 : 148,404.52 = 27,858.96 : x
  2. Step 2: Convert to fraction form
    98,936.35/148,404.52 = 27,858.96/x
  3. Step 3: Cross multiply
    98,936.35x = 148,404.52 × 27,858.96
  4. Step 4: Simplify right side
    98,936.35x = 4,134,396,097.48
  5. Step 5: Solve for x
    x = 4,134,396,097.48/98,936.35
  6. Step 6: Final answer
    x = 41,788.44

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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.