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Finding the Fourth Proportional to 50,738.20, 76,112.10 and 13,802.20

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Solution

The fourth proportional to 50,738.20, 76,112.10 and 13,802.20 is: 20,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.20 : 76,112.10 = 13,802.20 : x
  2. Step 2: Convert to fraction form
    50,738.20/76,112.10 = 13,802.20/x
  3. Step 3: Cross multiply
    50,738.20x = 76,112.10 × 13,802.20
  4. Step 4: Simplify right side
    50,738.20x = 1,050,514,426.62
  5. Step 5: Solve for x
    x = 1,050,514,426.62/50,738.20
  6. Step 6: Final answer
    x = 20,704.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.