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Finding the Fourth Proportional to 31,694.66, 47,523.36 and 27,017.18

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Solution

The fourth proportional to 31,694.66, 47,523.36 and 27,017.18 is: 40,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.66 : 47,523.36 = 27,017.18 : x
  2. Step 2: Convert to fraction form
    31,694.66/47,523.36 = 27,017.18/x
  3. Step 3: Cross multiply
    31,694.66x = 47,523.36 × 27,017.18
  4. Step 4: Simplify right side
    31,694.66x = 1,283,947,171.32
  5. Step 5: Solve for x
    x = 1,283,947,171.32/31,694.66
  6. Step 6: Final answer
    x = 40,509.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.