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Finding the Fourth Proportional to 37,020.20, 51,054.05 and 31,662.72

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Solution

The fourth proportional to 37,020.20, 51,054.05 and 31,662.72 is: 43,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,020.20 : 51,054.05 = 31,662.72 : x
  2. Step 2: Convert to fraction form
    37,020.20/51,054.05 = 31,662.72/x
  3. Step 3: Cross multiply
    37,020.20x = 51,054.05 × 31,662.72
  4. Step 4: Simplify right side
    37,020.20x = 1,616,510,169.17
  5. Step 5: Solve for x
    x = 1,616,510,169.17/37,020.20
  6. Step 6: Final answer
    x = 43,665.63

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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.