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Finding the Fourth Proportional to 31,219.34, 43,082.76 and 17,072.22

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Solution

The fourth proportional to 31,219.34, 43,082.76 and 17,072.22 is: 23,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219.34 : 43,082.76 = 17,072.22 : x
  2. Step 2: Convert to fraction form
    31,219.34/43,082.76 = 17,072.22/x
  3. Step 3: Cross multiply
    31,219.34x = 43,082.76 × 17,072.22
  4. Step 4: Simplify right side
    31,219.34x = 735,518,356.93
  5. Step 5: Solve for x
    x = 735,518,356.93/31,219.34
  6. Step 6: Final answer
    x = 23,559.71

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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.