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Finding the Fourth Proportional to 27,278.15, 40,899 and 22,019.63

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Solution

The fourth proportional to 27,278.15, 40,899 and 22,019.63 is: 33,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.15 : 40,899 = 22,019.63 : x
  2. Step 2: Convert to fraction form
    27,278.15/40,899 = 22,019.63/x
  3. Step 3: Cross multiply
    27,278.15x = 40,899 × 22,019.63
  4. Step 4: Simplify right side
    27,278.15x = 900,580,847.37
  5. Step 5: Solve for x
    x = 900,580,847.37/27,278.15
  6. Step 6: Final answer
    x = 33,014.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.