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Finding the Fourth Proportional to 31,082.94, 42,894.55 and 17,654.30

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Solution

The fourth proportional to 31,082.94, 42,894.55 and 17,654.30 is: 24,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.94 : 42,894.55 = 17,654.30 : x
  2. Step 2: Convert to fraction form
    31,082.94/42,894.55 = 17,654.30/x
  3. Step 3: Cross multiply
    31,082.94x = 42,894.55 × 17,654.30
  4. Step 4: Simplify right side
    31,082.94x = 757,273,165.79
  5. Step 5: Solve for x
    x = 757,273,165.79/31,082.94
  6. Step 6: Final answer
    x = 24,362.99

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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.