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Finding the Fourth Proportional to 36,171.42, 49,916.97 and 20,256

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Solution

The fourth proportional to 36,171.42, 49,916.97 and 20,256 is: 27,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,171.42 : 49,916.97 = 20,256 : x
  2. Step 2: Convert to fraction form
    36,171.42/49,916.97 = 20,256/x
  3. Step 3: Cross multiply
    36,171.42x = 49,916.97 × 20,256
  4. Step 4: Simplify right side
    36,171.42x = 1,011,118,144.32
  5. Step 5: Solve for x
    x = 1,011,118,144.32/36,171.42
  6. Step 6: Final answer
    x = 27,953.51

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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.