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Finding the Fourth Proportional to 36,143.49, 49,878.27 and 20,229.42

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Solution

The fourth proportional to 36,143.49, 49,878.27 and 20,229.42 is: 27,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.49 : 49,878.27 = 20,229.42 : x
  2. Step 2: Convert to fraction form
    36,143.49/49,878.27 = 20,229.42/x
  3. Step 3: Cross multiply
    36,143.49x = 49,878.27 × 20,229.42
  4. Step 4: Simplify right side
    36,143.49x = 1,009,008,472.70
  5. Step 5: Solve for x
    x = 1,009,008,472.70/36,143.49
  6. Step 6: Final answer
    x = 27,916.74

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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.