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Finding the Fourth Proportional to 29,571.68, 40,815.60 and 20,144

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Solution

The fourth proportional to 29,571.68, 40,815.60 and 20,144 is: 27,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571.68 : 40,815.60 = 20,144 : x
  2. Step 2: Convert to fraction form
    29,571.68/40,815.60 = 20,144/x
  3. Step 3: Cross multiply
    29,571.68x = 40,815.60 × 20,144
  4. Step 4: Simplify right side
    29,571.68x = 822,189,446.40
  5. Step 5: Solve for x
    x = 822,189,446.40/29,571.68
  6. Step 6: Final answer
    x = 27,803.27

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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.