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Finding the Fourth Proportional to 49,663.75, 74,493.97 and 21,583.83

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Solution

The fourth proportional to 49,663.75, 74,493.97 and 21,583.83 is: 32,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.75 : 74,493.97 = 21,583.83 : x
  2. Step 2: Convert to fraction form
    49,663.75/74,493.97 = 21,583.83/x
  3. Step 3: Cross multiply
    49,663.75x = 74,493.97 × 21,583.83
  4. Step 4: Simplify right side
    49,663.75x = 1,607,864,944.31
  5. Step 5: Solve for x
    x = 1,607,864,944.31/49,663.75
  6. Step 6: Final answer
    x = 32,375.02

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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.