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Finding the Fourth Proportional to 27,122.37, 40,712.31 and 24,022.50

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Solution

The fourth proportional to 27,122.37, 40,712.31 and 24,022.50 is: 36,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.37 : 40,712.31 = 24,022.50 : x
  2. Step 2: Convert to fraction form
    27,122.37/40,712.31 = 24,022.50/x
  3. Step 3: Cross multiply
    27,122.37x = 40,712.31 × 24,022.50
  4. Step 4: Simplify right side
    27,122.37x = 978,011,466.98
  5. Step 5: Solve for x
    x = 978,011,466.98/27,122.37
  6. Step 6: Final answer
    x = 36,059.22

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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.