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Finding the Fourth Proportional to 97,841.28, 135,013.32 and 57,556.56

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Solution

The fourth proportional to 97,841.28, 135,013.32 and 57,556.56 is: 79,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,841.28 : 135,013.32 = 57,556.56 : x
  2. Step 2: Convert to fraction form
    97,841.28/135,013.32 = 57,556.56/x
  3. Step 3: Cross multiply
    97,841.28x = 135,013.32 × 57,556.56
  4. Step 4: Simplify right side
    97,841.28x = 7,770,902,253.38
  5. Step 5: Solve for x
    x = 7,770,902,253.38/97,841.28
  6. Step 6: Final answer
    x = 79,423.55

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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.