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Finding the Fourth Proportional to 98,976.90, 148,419.18 and 28,842.24

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Solution

The fourth proportional to 98,976.90, 148,419.18 and 28,842.24 is: 43,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976.90 : 148,419.18 = 28,842.24 : x
  2. Step 2: Convert to fraction form
    98,976.90/148,419.18 = 28,842.24/x
  3. Step 3: Cross multiply
    98,976.90x = 148,419.18 × 28,842.24
  4. Step 4: Simplify right side
    98,976.90x = 4,280,741,610.16
  5. Step 5: Solve for x
    x = 4,280,741,610.16/98,976.90
  6. Step 6: Final answer
    x = 43,249.91

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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.