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Finding the Fourth Proportional to 36,141.85, 49,876.73 and 20,226.77

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Solution

The fourth proportional to 36,141.85, 49,876.73 and 20,226.77 is: 27,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.85 : 49,876.73 = 20,226.77 : x
  2. Step 2: Convert to fraction form
    36,141.85/49,876.73 = 20,226.77/x
  3. Step 3: Cross multiply
    36,141.85x = 49,876.73 × 20,226.77
  4. Step 4: Simplify right side
    36,141.85x = 1,008,845,146.06
  5. Step 5: Solve for x
    x = 1,008,845,146.06/36,141.85
  6. Step 6: Final answer
    x = 27,913.49

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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.