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Finding the Fourth Proportional to 100,318.50, 150,546.87 and 34,654.50

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Solution

The fourth proportional to 100,318.50, 150,546.87 and 34,654.50 is: 52,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,318.50 : 150,546.87 = 34,654.50 : x
  2. Step 2: Convert to fraction form
    100,318.50/150,546.87 = 34,654.50/x
  3. Step 3: Cross multiply
    100,318.50x = 150,546.87 × 34,654.50
  4. Step 4: Simplify right side
    100,318.50x = 5,217,126,506.42
  5. Step 5: Solve for x
    x = 5,217,126,506.42/100,318.50
  6. Step 6: Final answer
    x = 52,005.63

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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.