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Finding the Fourth Proportional to 96,109.67, 132,630.81 and 53,092.11

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Solution

The fourth proportional to 96,109.67, 132,630.81 and 53,092.11 is: 73,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,109.67 : 132,630.81 = 53,092.11 : x
  2. Step 2: Convert to fraction form
    96,109.67/132,630.81 = 53,092.11/x
  3. Step 3: Cross multiply
    96,109.67x = 132,630.81 × 53,092.11
  4. Step 4: Simplify right side
    96,109.67x = 7,041,649,553.91
  5. Step 5: Solve for x
    x = 7,041,649,553.91/96,109.67
  6. Step 6: Final answer
    x = 73,266.82

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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.