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Finding the Fourth Proportional to 36,141.82, 49,875.72 and 20,229.34

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Solution

The fourth proportional to 36,141.82, 49,875.72 and 20,229.34 is: 27,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.82 : 49,875.72 = 20,229.34 : x
  2. Step 2: Convert to fraction form
    36,141.82/49,875.72 = 20,229.34/x
  3. Step 3: Cross multiply
    36,141.82x = 49,875.72 × 20,229.34
  4. Step 4: Simplify right side
    36,141.82x = 1,008,952,897.62
  5. Step 5: Solve for x
    x = 1,008,952,897.62/36,141.82
  6. Step 6: Final answer
    x = 27,916.49

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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.