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Finding the Fourth Proportional to 37,820, 52,191.60 and 21,054.08

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Solution

The fourth proportional to 37,820, 52,191.60 and 21,054.08 is: 29,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820 : 52,191.60 = 21,054.08 : x
  2. Step 2: Convert to fraction form
    37,820/52,191.60 = 21,054.08/x
  3. Step 3: Cross multiply
    37,820x = 52,191.60 × 21,054.08
  4. Step 4: Simplify right side
    37,820x = 1,098,846,121.73
  5. Step 5: Solve for x
    x = 1,098,846,121.73/37,820
  6. Step 6: Final answer
    x = 29,054.63

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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.