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Finding the Fourth Proportional to 96,597, 133,296.12 and 54,149.76

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Solution

The fourth proportional to 96,597, 133,296.12 and 54,149.76 is: 74,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597 : 133,296.12 = 54,149.76 : x
  2. Step 2: Convert to fraction form
    96,597/133,296.12 = 54,149.76/x
  3. Step 3: Cross multiply
    96,597x = 133,296.12 × 54,149.76
  4. Step 4: Simplify right side
    96,597x = 7,217,952,906.93
  5. Step 5: Solve for x
    x = 7,217,952,906.93/96,597
  6. Step 6: Final answer
    x = 74,722.33

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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.