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Finding the Fourth Proportional to 42,105.69, 58,103.13 and 23,243.22

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Solution

The fourth proportional to 42,105.69, 58,103.13 and 23,243.22 is: 32,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.69 : 58,103.13 = 23,243.22 : x
  2. Step 2: Convert to fraction form
    42,105.69/58,103.13 = 23,243.22/x
  3. Step 3: Cross multiply
    42,105.69x = 58,103.13 × 23,243.22
  4. Step 4: Simplify right side
    42,105.69x = 1,350,503,978.54
  5. Step 5: Solve for x
    x = 1,350,503,978.54/42,105.69
  6. Step 6: Final answer
    x = 32,074.14

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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.