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Finding the Fourth Proportional to 96,351, 132,964.38 and 53,917.73

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Solution

The fourth proportional to 96,351, 132,964.38 and 53,917.73 is: 74,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,351 : 132,964.38 = 53,917.73 : x
  2. Step 2: Convert to fraction form
    96,351/132,964.38 = 53,917.73/x
  3. Step 3: Cross multiply
    96,351x = 132,964.38 × 53,917.73
  4. Step 4: Simplify right side
    96,351x = 7,169,137,872.87
  5. Step 5: Solve for x
    x = 7,169,137,872.87/96,351
  6. Step 6: Final answer
    x = 74,406.47

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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.