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Finding the Fourth Proportional to 51,643.50, 71,280.18 and 31,517.03

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Solution

The fourth proportional to 51,643.50, 71,280.18 and 31,517.03 is: 43,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.50 : 71,280.18 = 31,517.03 : x
  2. Step 2: Convert to fraction form
    51,643.50/71,280.18 = 31,517.03/x
  3. Step 3: Cross multiply
    51,643.50x = 71,280.18 × 31,517.03
  4. Step 4: Simplify right side
    51,643.50x = 2,246,539,215.06
  5. Step 5: Solve for x
    x = 2,246,539,215.06/51,643.50
  6. Step 6: Final answer
    x = 43,500.91

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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.