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Finding the Fourth Proportional to 50,227.67, 75,355.41 and 40,844.50

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Solution

The fourth proportional to 50,227.67, 75,355.41 and 40,844.50 is: 61,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227.67 : 75,355.41 = 40,844.50 : x
  2. Step 2: Convert to fraction form
    50,227.67/75,355.41 = 40,844.50/x
  3. Step 3: Cross multiply
    50,227.67x = 75,355.41 × 40,844.50
  4. Step 4: Simplify right side
    50,227.67x = 3,077,854,043.75
  5. Step 5: Solve for x
    x = 3,077,854,043.75/50,227.67
  6. Step 6: Final answer
    x = 61,278.06

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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.