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Finding the Fourth Proportional to 98,132.50, 135,440.52 and 57,843.88

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Solution

The fourth proportional to 98,132.50, 135,440.52 and 57,843.88 is: 79,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,132.50 : 135,440.52 = 57,843.88 : x
  2. Step 2: Convert to fraction form
    98,132.50/135,440.52 = 57,843.88/x
  3. Step 3: Cross multiply
    98,132.50x = 135,440.52 × 57,843.88
  4. Step 4: Simplify right side
    98,132.50x = 7,834,405,186.02
  5. Step 5: Solve for x
    x = 7,834,405,186.02/98,132.50
  6. Step 6: Final answer
    x = 79,834.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.