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Finding the Fourth Proportional to 73,536, 110,340.45 and 29,161.77

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Solution

The fourth proportional to 73,536, 110,340.45 and 29,161.77 is: 43,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,536 : 110,340.45 = 29,161.77 : x
  2. Step 2: Convert to fraction form
    73,536/110,340.45 = 29,161.77/x
  3. Step 3: Cross multiply
    73,536x = 110,340.45 × 29,161.77
  4. Step 4: Simplify right side
    73,536x = 3,217,722,824.60
  5. Step 5: Solve for x
    x = 3,217,722,824.60/73,536
  6. Step 6: Final answer
    x = 43,757.11

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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.