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Finding the Fourth Proportional to 96,331.76, 132,942.84 and 53,891

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Solution

The fourth proportional to 96,331.76, 132,942.84 and 53,891 is: 74,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,331.76 : 132,942.84 = 53,891 : x
  2. Step 2: Convert to fraction form
    96,331.76/132,942.84 = 53,891/x
  3. Step 3: Cross multiply
    96,331.76x = 132,942.84 × 53,891
  4. Step 4: Simplify right side
    96,331.76x = 7,164,422,590.44
  5. Step 5: Solve for x
    x = 7,164,422,590.44/96,331.76
  6. Step 6: Final answer
    x = 74,372.38

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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.