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Finding the Fourth Proportional to 96,328, 132,932.64 and 62,794

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Solution

The fourth proportional to 96,328, 132,932.64 and 62,794 is: 86,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,328 : 132,932.64 = 62,794 : x
  2. Step 2: Convert to fraction form
    96,328/132,932.64 = 62,794/x
  3. Step 3: Cross multiply
    96,328x = 132,932.64 × 62,794
  4. Step 4: Simplify right side
    96,328x = 8,347,372,196.16
  5. Step 5: Solve for x
    x = 8,347,372,196.16/96,328
  6. Step 6: Final answer
    x = 86,655.72

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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.