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Finding the Fourth Proportional to 31,082.63, 42,893.43 and 16,935.17

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Solution

The fourth proportional to 31,082.63, 42,893.43 and 16,935.17 is: 23,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.63 : 42,893.43 = 16,935.17 : x
  2. Step 2: Convert to fraction form
    31,082.63/42,893.43 = 16,935.17/x
  3. Step 3: Cross multiply
    31,082.63x = 42,893.43 × 16,935.17
  4. Step 4: Simplify right side
    31,082.63x = 726,407,528.93
  5. Step 5: Solve for x
    x = 726,407,528.93/31,082.63
  6. Step 6: Final answer
    x = 23,370.21

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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.