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Finding the Fourth Proportional to 74,599, 111,872.46 and 27,826.36

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Solution

The fourth proportional to 74,599, 111,872.46 and 27,826.36 is: 41,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,599 : 111,872.46 = 27,826.36 : x
  2. Step 2: Convert to fraction form
    74,599/111,872.46 = 27,826.36/x
  3. Step 3: Cross multiply
    74,599x = 111,872.46 × 27,826.36
  4. Step 4: Simplify right side
    74,599x = 3,113,003,346.05
  5. Step 5: Solve for x
    x = 3,113,003,346.05/74,599
  6. Step 6: Final answer
    x = 41,729.83

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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.