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Finding the Fourth Proportional to 32,074.63, 44,260.98 and 17,734.09

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Solution

The fourth proportional to 32,074.63, 44,260.98 and 17,734.09 is: 24,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.63 : 44,260.98 = 17,734.09 : x
  2. Step 2: Convert to fraction form
    32,074.63/44,260.98 = 17,734.09/x
  3. Step 3: Cross multiply
    32,074.63x = 44,260.98 × 17,734.09
  4. Step 4: Simplify right side
    32,074.63x = 784,928,202.81
  5. Step 5: Solve for x
    x = 784,928,202.81/32,074.63
  6. Step 6: Final answer
    x = 24,471.93

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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.