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Finding the Fourth Proportional to 98,251.82, 135,589.71 and 57,975.38

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Solution

The fourth proportional to 98,251.82, 135,589.71 and 57,975.38 is: 80,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.82 : 135,589.71 = 57,975.38 : x
  2. Step 2: Convert to fraction form
    98,251.82/135,589.71 = 57,975.38/x
  3. Step 3: Cross multiply
    98,251.82x = 135,589.71 × 57,975.38
  4. Step 4: Simplify right side
    98,251.82x = 7,860,864,961.34
  5. Step 5: Solve for x
    x = 7,860,864,961.34/98,251.82
  6. Step 6: Final answer
    x = 80,007.32

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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.