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Finding the Fourth Proportional to 96,016.32, 132,508.92 and 53,575.76

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Solution

The fourth proportional to 96,016.32, 132,508.92 and 53,575.76 is: 73,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,016.32 : 132,508.92 = 53,575.76 : x
  2. Step 2: Convert to fraction form
    96,016.32/132,508.92 = 53,575.76/x
  3. Step 3: Cross multiply
    96,016.32x = 132,508.92 × 53,575.76
  4. Step 4: Simplify right side
    96,016.32x = 7,099,266,095.78
  5. Step 5: Solve for x
    x = 7,099,266,095.78/96,016.32
  6. Step 6: Final answer
    x = 73,938.12

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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.