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Finding the Fourth Proportional to 71,706.36, 107,557.11 and 27,331.50

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Solution

The fourth proportional to 71,706.36, 107,557.11 and 27,331.50 is: 40,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.36 : 107,557.11 = 27,331.50 : x
  2. Step 2: Convert to fraction form
    71,706.36/107,557.11 = 27,331.50/x
  3. Step 3: Cross multiply
    71,706.36x = 107,557.11 × 27,331.50
  4. Step 4: Simplify right side
    71,706.36x = 2,939,697,151.97
  5. Step 5: Solve for x
    x = 2,939,697,151.97/71,706.36
  6. Step 6: Final answer
    x = 40,996.32

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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.