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Finding the Fourth Proportional to 96,453, 132,959.34 and 82,951.92

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Solution

The fourth proportional to 96,453, 132,959.34 and 82,951.92 is: 114,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,453 : 132,959.34 = 82,951.92 : x
  2. Step 2: Convert to fraction form
    96,453/132,959.34 = 82,951.92/x
  3. Step 3: Cross multiply
    96,453x = 132,959.34 × 82,951.92
  4. Step 4: Simplify right side
    96,453x = 11,029,232,534.93
  5. Step 5: Solve for x
    x = 11,029,232,534.93/96,453
  6. Step 6: Final answer
    x = 114,348.26

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1.5x scale

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.