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Finding the Fourth Proportional to 96,498.95, 133,168.46 and 54,057.78

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Solution

The fourth proportional to 96,498.95, 133,168.46 and 54,057.78 is: 74,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498.95 : 133,168.46 = 54,057.78 : x
  2. Step 2: Convert to fraction form
    96,498.95/133,168.46 = 54,057.78/x
  3. Step 3: Cross multiply
    96,498.95x = 133,168.46 × 54,057.78
  4. Step 4: Simplify right side
    96,498.95x = 7,198,791,043.33
  5. Step 5: Solve for x
    x = 7,198,791,043.33/96,498.95
  6. Step 6: Final answer
    x = 74,599.69

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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.