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Finding the Fourth Proportional to 71,157.30, 106,738.11 and 24,409.50

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Solution

The fourth proportional to 71,157.30, 106,738.11 and 24,409.50 is: 36,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.30 : 106,738.11 = 24,409.50 : x
  2. Step 2: Convert to fraction form
    71,157.30/106,738.11 = 24,409.50/x
  3. Step 3: Cross multiply
    71,157.30x = 106,738.11 × 24,409.50
  4. Step 4: Simplify right side
    71,157.30x = 2,605,423,896.05
  5. Step 5: Solve for x
    x = 2,605,423,896.05/71,157.30
  6. Step 6: Final answer
    x = 36,614.99

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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.