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Finding the Fourth Proportional to 31,082.64, 42,894.28 and 17,653.52

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Solution

The fourth proportional to 31,082.64, 42,894.28 and 17,653.52 is: 24,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.64 : 42,894.28 = 17,653.52 : x
  2. Step 2: Convert to fraction form
    31,082.64/42,894.28 = 17,653.52/x
  3. Step 3: Cross multiply
    31,082.64x = 42,894.28 × 17,653.52
  4. Step 4: Simplify right side
    31,082.64x = 757,235,029.87
  5. Step 5: Solve for x
    x = 757,235,029.87/31,082.64
  6. Step 6: Final answer
    x = 24,361.99

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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.