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Finding the Fourth Proportional to 38,812.48, 58,163.10 and 22,138

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Solution

The fourth proportional to 38,812.48, 58,163.10 and 22,138 is: 33,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,812.48 : 58,163.10 = 22,138 : x
  2. Step 2: Convert to fraction form
    38,812.48/58,163.10 = 22,138/x
  3. Step 3: Cross multiply
    38,812.48x = 58,163.10 × 22,138
  4. Step 4: Simplify right side
    38,812.48x = 1,287,614,707.80
  5. Step 5: Solve for x
    x = 1,287,614,707.80/38,812.48
  6. Step 6: Final answer
    x = 33,175.28

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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.