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Finding the Fourth Proportional to 98,190.24, 147,241.62 and 35,817

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Solution

The fourth proportional to 98,190.24, 147,241.62 and 35,817 is: 53,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190.24 : 147,241.62 = 35,817 : x
  2. Step 2: Convert to fraction form
    98,190.24/147,241.62 = 35,817/x
  3. Step 3: Cross multiply
    98,190.24x = 147,241.62 × 35,817
  4. Step 4: Simplify right side
    98,190.24x = 5,273,753,103.54
  5. Step 5: Solve for x
    x = 5,273,753,103.54/98,190.24
  6. Step 6: Final answer
    x = 53,709.54

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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.