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Finding the Fourth Proportional to 48,666, 73,003.68 and 22,378.08

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Solution

The fourth proportional to 48,666, 73,003.68 and 22,378.08 is: 33,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,666 : 73,003.68 = 22,378.08 : x
  2. Step 2: Convert to fraction form
    48,666/73,003.68 = 22,378.08/x
  3. Step 3: Cross multiply
    48,666x = 73,003.68 × 22,378.08
  4. Step 4: Simplify right side
    48,666x = 1,633,682,191.33
  5. Step 5: Solve for x
    x = 1,633,682,191.33/48,666
  6. Step 6: Final answer
    x = 33,569.27

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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.