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Finding the Fourth Proportional to 37,758, 52,106.22 and 20,991

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Solution

The fourth proportional to 37,758, 52,106.22 and 20,991 is: 28,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758 : 52,106.22 = 20,991 : x
  2. Step 2: Convert to fraction form
    37,758/52,106.22 = 20,991/x
  3. Step 3: Cross multiply
    37,758x = 52,106.22 × 20,991
  4. Step 4: Simplify right side
    37,758x = 1,093,761,664.02
  5. Step 5: Solve for x
    x = 1,093,761,664.02/37,758
  6. Step 6: Final answer
    x = 28,967.68

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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.