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Finding the Fourth Proportional to 31,680.87, 43,718.99 and 17,533.82

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Solution

The fourth proportional to 31,680.87, 43,718.99 and 17,533.82 is: 24,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.87 : 43,718.99 = 17,533.82 : x
  2. Step 2: Convert to fraction form
    31,680.87/43,718.99 = 17,533.82/x
  3. Step 3: Cross multiply
    31,680.87x = 43,718.99 × 17,533.82
  4. Step 4: Simplify right side
    31,680.87x = 766,560,594.98
  5. Step 5: Solve for x
    x = 766,560,594.98/31,680.87
  6. Step 6: Final answer
    x = 24,196.32

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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.