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Finding the Fourth Proportional to 31,599.81, 47,370.42 and 11,891.43

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Solution

The fourth proportional to 31,599.81, 47,370.42 and 11,891.43 is: 17,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.81 : 47,370.42 = 11,891.43 : x
  2. Step 2: Convert to fraction form
    31,599.81/47,370.42 = 11,891.43/x
  3. Step 3: Cross multiply
    31,599.81x = 47,370.42 × 11,891.43
  4. Step 4: Simplify right side
    31,599.81x = 563,302,033.50
  5. Step 5: Solve for x
    x = 563,302,033.50/31,599.81
  6. Step 6: Final answer
    x = 17,826.12

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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.