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Finding the Fourth Proportional to 37,343.46, 51,522.92 and 22,224

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Solution

The fourth proportional to 37,343.46, 51,522.92 and 22,224 is: 30,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,343.46 : 51,522.92 = 22,224 : x
  2. Step 2: Convert to fraction form
    37,343.46/51,522.92 = 22,224/x
  3. Step 3: Cross multiply
    37,343.46x = 51,522.92 × 22,224
  4. Step 4: Simplify right side
    37,343.46x = 1,145,045,374.08
  5. Step 5: Solve for x
    x = 1,145,045,374.08/37,343.46
  6. Step 6: Final answer
    x = 30,662.54

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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.