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Finding the Fourth Proportional to 96,216, 132,778.08 and 53,195.52

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Solution

The fourth proportional to 96,216, 132,778.08 and 53,195.52 is: 73,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,216 : 132,778.08 = 53,195.52 : x
  2. Step 2: Convert to fraction form
    96,216/132,778.08 = 53,195.52/x
  3. Step 3: Cross multiply
    96,216x = 132,778.08 × 53,195.52
  4. Step 4: Simplify right side
    96,216x = 7,063,199,010.20
  5. Step 5: Solve for x
    x = 7,063,199,010.20/96,216
  6. Step 6: Final answer
    x = 73,409.82

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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.