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Finding the Fourth Proportional to 42,057.56, 58,039.44 and 23,194.69

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Solution

The fourth proportional to 42,057.56, 58,039.44 and 23,194.69 is: 32,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.56 : 58,039.44 = 23,194.69 : x
  2. Step 2: Convert to fraction form
    42,057.56/58,039.44 = 23,194.69/x
  3. Step 3: Cross multiply
    42,057.56x = 58,039.44 × 23,194.69
  4. Step 4: Simplify right side
    42,057.56x = 1,346,206,586.49
  5. Step 5: Solve for x
    x = 1,346,206,586.49/42,057.56
  6. Step 6: Final answer
    x = 32,008.67

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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.