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Finding the Fourth Proportional to 80,914.34, 111,616.05 and 50,647.11

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Solution

The fourth proportional to 80,914.34, 111,616.05 and 50,647.11 is: 69,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,914.34 : 111,616.05 = 50,647.11 : x
  2. Step 2: Convert to fraction form
    80,914.34/111,616.05 = 50,647.11/x
  3. Step 3: Cross multiply
    80,914.34x = 111,616.05 × 50,647.11
  4. Step 4: Simplify right side
    80,914.34x = 5,653,030,362.12
  5. Step 5: Solve for x
    x = 5,653,030,362.12/80,914.34
  6. Step 6: Final answer
    x = 69,864.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.