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Finding the Fourth Proportional to 48,412.36, 66,809.10 and 27,193

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Solution

The fourth proportional to 48,412.36, 66,809.10 and 27,193 is: 37,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412.36 : 66,809.10 = 27,193 : x
  2. Step 2: Convert to fraction form
    48,412.36/66,809.10 = 27,193/x
  3. Step 3: Cross multiply
    48,412.36x = 66,809.10 × 27,193
  4. Step 4: Simplify right side
    48,412.36x = 1,816,739,856.30
  5. Step 5: Solve for x
    x = 1,816,739,856.30/48,412.36
  6. Step 6: Final answer
    x = 37,526.36

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