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Finding the Fourth Proportional to 31,616.88, 47,451.93 and 15,817.17

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Solution

The fourth proportional to 31,616.88, 47,451.93 and 15,817.17 is: 23,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.88 : 47,451.93 = 15,817.17 : x
  2. Step 2: Convert to fraction form
    31,616.88/47,451.93 = 15,817.17/x
  3. Step 3: Cross multiply
    31,616.88x = 47,451.93 × 15,817.17
  4. Step 4: Simplify right side
    31,616.88x = 750,555,243.64
  5. Step 5: Solve for x
    x = 750,555,243.64/31,616.88
  6. Step 6: Final answer
    x = 23,739.07

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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.