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Finding the Fourth Proportional to 100,793.64, 151,154.46 and 33,313.20

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Solution

The fourth proportional to 100,793.64, 151,154.46 and 33,313.20 is: 49,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,793.64 : 151,154.46 = 33,313.20 : x
  2. Step 2: Convert to fraction form
    100,793.64/151,154.46 = 33,313.20/x
  3. Step 3: Cross multiply
    100,793.64x = 151,154.46 × 33,313.20
  4. Step 4: Simplify right side
    100,793.64x = 5,035,438,756.87
  5. Step 5: Solve for x
    x = 5,035,438,756.87/100,793.64
  6. Step 6: Final answer
    x = 49,957.90

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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.