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Finding the Fourth Proportional to 37,758, 52,106.04 and 20,994.24

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Solution

The fourth proportional to 37,758, 52,106.04 and 20,994.24 is: 28,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758 : 52,106.04 = 20,994.24 : x
  2. Step 2: Convert to fraction form
    37,758/52,106.04 = 20,994.24/x
  3. Step 3: Cross multiply
    37,758x = 52,106.04 × 20,994.24
  4. Step 4: Simplify right side
    37,758x = 1,093,926,709.21
  5. Step 5: Solve for x
    x = 1,093,926,709.21/37,758
  6. Step 6: Final answer
    x = 28,972.05

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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.