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Finding the Fourth Proportional to 42,082.50, 58,074.66 and 23,219.22

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Solution

The fourth proportional to 42,082.50, 58,074.66 and 23,219.22 is: 32,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082.50 : 58,074.66 = 23,219.22 : x
  2. Step 2: Convert to fraction form
    42,082.50/58,074.66 = 23,219.22/x
  3. Step 3: Cross multiply
    42,082.50x = 58,074.66 × 23,219.22
  4. Step 4: Simplify right side
    42,082.50x = 1,348,448,306.97
  5. Step 5: Solve for x
    x = 1,348,448,306.97/42,082.50
  6. Step 6: Final answer
    x = 32,042.97

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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.