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Finding the Fourth Proportional to 37,478.14, 51,722.14 and 21,562.22

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Solution

The fourth proportional to 37,478.14, 51,722.14 and 21,562.22 is: 29,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478.14 : 51,722.14 = 21,562.22 : x
  2. Step 2: Convert to fraction form
    37,478.14/51,722.14 = 21,562.22/x
  3. Step 3: Cross multiply
    37,478.14x = 51,722.14 × 21,562.22
  4. Step 4: Simplify right side
    37,478.14x = 1,115,244,161.55
  5. Step 5: Solve for x
    x = 1,115,244,161.55/37,478.14
  6. Step 6: Final answer
    x = 29,757.19

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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.