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Finding the Fourth Proportional to 36,144.24, 49,878.54 and 20,228.52

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Solution

The fourth proportional to 36,144.24, 49,878.54 and 20,228.52 is: 27,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144.24 : 49,878.54 = 20,228.52 : x
  2. Step 2: Convert to fraction form
    36,144.24/49,878.54 = 20,228.52/x
  3. Step 3: Cross multiply
    36,144.24x = 49,878.54 × 20,228.52
  4. Step 4: Simplify right side
    36,144.24x = 1,008,969,043.96
  5. Step 5: Solve for x
    x = 1,008,969,043.96/36,144.24
  6. Step 6: Final answer
    x = 27,915.07

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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.