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Finding the Fourth Proportional to 37,840.42, 52,219.77 and 21,934.09

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Solution

The fourth proportional to 37,840.42, 52,219.77 and 21,934.09 is: 30,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.42 : 52,219.77 = 21,934.09 : x
  2. Step 2: Convert to fraction form
    37,840.42/52,219.77 = 21,934.09/x
  3. Step 3: Cross multiply
    37,840.42x = 52,219.77 × 21,934.09
  4. Step 4: Simplify right side
    37,840.42x = 1,145,393,025.29
  5. Step 5: Solve for x
    x = 1,145,393,025.29/37,840.42
  6. Step 6: Final answer
    x = 30,269.04

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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.