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Finding the Fourth Proportional to 36,029.52, 49,724 and 20,117.84

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Solution

The fourth proportional to 36,029.52, 49,724 and 20,117.84 is: 27,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,029.52 : 49,724 = 20,117.84 : x
  2. Step 2: Convert to fraction form
    36,029.52/49,724 = 20,117.84/x
  3. Step 3: Cross multiply
    36,029.52x = 49,724 × 20,117.84
  4. Step 4: Simplify right side
    36,029.52x = 1,000,339,476.16
  5. Step 5: Solve for x
    x = 1,000,339,476.16/36,029.52
  6. Step 6: Final answer
    x = 27,764.44

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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.