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Finding the Fourth Proportional to 100,654.39, 150,982.26 and 29,576.76

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Solution

The fourth proportional to 100,654.39, 150,982.26 and 29,576.76 is: 44,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654.39 : 150,982.26 = 29,576.76 : x
  2. Step 2: Convert to fraction form
    100,654.39/150,982.26 = 29,576.76/x
  3. Step 3: Cross multiply
    100,654.39x = 150,982.26 × 29,576.76
  4. Step 4: Simplify right side
    100,654.39x = 4,465,566,068.28
  5. Step 5: Solve for x
    x = 4,465,566,068.28/100,654.39
  6. Step 6: Final answer
    x = 44,365.34

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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.