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Finding the Fourth Proportional to 96,057.92, 144,086.88 and 49,280.96

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Solution

The fourth proportional to 96,057.92, 144,086.88 and 49,280.96 is: 73,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,057.92 : 144,086.88 = 49,280.96 : x
  2. Step 2: Convert to fraction form
    96,057.92/144,086.88 = 49,280.96/x
  3. Step 3: Cross multiply
    96,057.92x = 144,086.88 × 49,280.96
  4. Step 4: Simplify right side
    96,057.92x = 7,100,739,769.80
  5. Step 5: Solve for x
    x = 7,100,739,769.80/96,057.92
  6. Step 6: Final answer
    x = 73,921.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.