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Finding the Fourth Proportional to 98,034.96, 147,067.08 and 45,449.76

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Solution

The fourth proportional to 98,034.96, 147,067.08 and 45,449.76 is: 68,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,034.96 : 147,067.08 = 45,449.76 : x
  2. Step 2: Convert to fraction form
    98,034.96/147,067.08 = 45,449.76/x
  3. Step 3: Cross multiply
    98,034.96x = 147,067.08 × 45,449.76
  4. Step 4: Simplify right side
    98,034.96x = 6,684,163,489.90
  5. Step 5: Solve for x
    x = 6,684,163,489.90/98,034.96
  6. Step 6: Final answer
    x = 68,181.43

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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.