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Finding the Fourth Proportional to 31,107.56, 42,923.62 and 17,857

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Solution

The fourth proportional to 31,107.56, 42,923.62 and 17,857 is: 24,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.56 : 42,923.62 = 17,857 : x
  2. Step 2: Convert to fraction form
    31,107.56/42,923.62 = 17,857/x
  3. Step 3: Cross multiply
    31,107.56x = 42,923.62 × 17,857
  4. Step 4: Simplify right side
    31,107.56x = 766,487,082.34
  5. Step 5: Solve for x
    x = 766,487,082.34/31,107.56
  6. Step 6: Final answer
    x = 24,639.90

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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.