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Finding the Fourth Proportional to 96,357, 132,972.69 and 53,923.74

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Solution

The fourth proportional to 96,357, 132,972.69 and 53,923.74 is: 74,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,357 : 132,972.69 = 53,923.74 : x
  2. Step 2: Convert to fraction form
    96,357/132,972.69 = 53,923.74/x
  3. Step 3: Cross multiply
    96,357x = 132,972.69 × 53,923.74
  4. Step 4: Simplify right side
    96,357x = 7,170,384,762.66
  5. Step 5: Solve for x
    x = 7,170,384,762.66/96,357
  6. Step 6: Final answer
    x = 74,414.78

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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.