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Finding the Fourth Proportional to 96,191.78, 132,742.11 and 53,750.66

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Solution

The fourth proportional to 96,191.78, 132,742.11 and 53,750.66 is: 74,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,191.78 : 132,742.11 = 53,750.66 : x
  2. Step 2: Convert to fraction form
    96,191.78/132,742.11 = 53,750.66/x
  3. Step 3: Cross multiply
    96,191.78x = 132,742.11 × 53,750.66
  4. Step 4: Simplify right side
    96,191.78x = 7,134,976,022.29
  5. Step 5: Solve for x
    x = 7,134,976,022.29/96,191.78
  6. Step 6: Final answer
    x = 74,174.49

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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.