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Finding the Fourth Proportional to 97,796.31, 134,979.92 and 59,568.47

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Solution

The fourth proportional to 97,796.31, 134,979.92 and 59,568.47 is: 82,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796.31 : 134,979.92 = 59,568.47 : x
  2. Step 2: Convert to fraction form
    97,796.31/134,979.92 = 59,568.47/x
  3. Step 3: Cross multiply
    97,796.31x = 134,979.92 × 59,568.47
  4. Step 4: Simplify right side
    97,796.31x = 8,040,546,342.38
  5. Step 5: Solve for x
    x = 8,040,546,342.38/97,796.31
  6. Step 6: Final answer
    x = 82,217.28

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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.