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Finding the Fourth Proportional to 100,002.40, 150,005.76 and 33,439.84

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Solution

The fourth proportional to 100,002.40, 150,005.76 and 33,439.84 is: 50,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.40 : 150,005.76 = 33,439.84 : x
  2. Step 2: Convert to fraction form
    100,002.40/150,005.76 = 33,439.84/x
  3. Step 3: Cross multiply
    100,002.40x = 150,005.76 × 33,439.84
  4. Step 4: Simplify right side
    100,002.40x = 5,016,168,613.48
  5. Step 5: Solve for x
    x = 5,016,168,613.48/100,002.40
  6. Step 6: Final answer
    x = 50,160.48

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