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Finding the Fourth Proportional to 31,082.88, 42,893.94 and 16,935.42

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Solution

The fourth proportional to 31,082.88, 42,893.94 and 16,935.42 is: 23,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.88 : 42,893.94 = 16,935.42 : x
  2. Step 2: Convert to fraction form
    31,082.88/42,893.94 = 16,935.42/x
  3. Step 3: Cross multiply
    31,082.88x = 42,893.94 × 16,935.42
  4. Step 4: Simplify right side
    31,082.88x = 726,426,889.35
  5. Step 5: Solve for x
    x = 726,426,889.35/31,082.88
  6. Step 6: Final answer
    x = 23,370.64

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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.