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Finding the Fourth Proportional to 96,134.22, 132,723.67 and 65,969.10

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Solution

The fourth proportional to 96,134.22, 132,723.67 and 65,969.10 is: 91,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,134.22 : 132,723.67 = 65,969.10 : x
  2. Step 2: Convert to fraction form
    96,134.22/132,723.67 = 65,969.10/x
  3. Step 3: Cross multiply
    96,134.22x = 132,723.67 × 65,969.10
  4. Step 4: Simplify right side
    96,134.22x = 8,755,661,058.60
  5. Step 5: Solve for x
    x = 8,755,661,058.60/96,134.22
  6. Step 6: Final answer
    x = 91,077.47

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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.