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Finding the Fourth Proportional to 98,243.60, 135,576.17 and 53,531.60

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Solution

The fourth proportional to 98,243.60, 135,576.17 and 53,531.60 is: 73,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,243.60 : 135,576.17 = 53,531.60 : x
  2. Step 2: Convert to fraction form
    98,243.60/135,576.17 = 53,531.60/x
  3. Step 3: Cross multiply
    98,243.60x = 135,576.17 × 53,531.60
  4. Step 4: Simplify right side
    98,243.60x = 7,257,609,301.97
  5. Step 5: Solve for x
    x = 7,257,609,301.97/98,243.60
  6. Step 6: Final answer
    x = 73,873.61

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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.