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Finding the Fourth Proportional to 36,077.78, 49,803.15 and 27,580.26

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Solution

The fourth proportional to 36,077.78, 49,803.15 and 27,580.26 is: 38,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.78 : 49,803.15 = 27,580.26 : x
  2. Step 2: Convert to fraction form
    36,077.78/49,803.15 = 27,580.26/x
  3. Step 3: Cross multiply
    36,077.78x = 49,803.15 × 27,580.26
  4. Step 4: Simplify right side
    36,077.78x = 1,373,583,687.92
  5. Step 5: Solve for x
    x = 1,373,583,687.92/36,077.78
  6. Step 6: Final answer
    x = 38,072.84

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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.