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Finding the Fourth Proportional to 31,478.49, 43,453.94 and 22,510.44

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Solution

The fourth proportional to 31,478.49, 43,453.94 and 22,510.44 is: 31,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.49 : 43,453.94 = 22,510.44 : x
  2. Step 2: Convert to fraction form
    31,478.49/43,453.94 = 22,510.44/x
  3. Step 3: Cross multiply
    31,478.49x = 43,453.94 × 22,510.44
  4. Step 4: Simplify right side
    31,478.49x = 978,167,196.58
  5. Step 5: Solve for x
    x = 978,167,196.58/31,478.49
  6. Step 6: Final answer
    x = 31,074.15

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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.