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Finding the Fourth Proportional to 32,380.68, 48,574.50 and 10,194.72

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Solution

The fourth proportional to 32,380.68, 48,574.50 and 10,194.72 is: 15,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.68 : 48,574.50 = 10,194.72 : x
  2. Step 2: Convert to fraction form
    32,380.68/48,574.50 = 10,194.72/x
  3. Step 3: Cross multiply
    32,380.68x = 48,574.50 × 10,194.72
  4. Step 4: Simplify right side
    32,380.68x = 495,203,426.64
  5. Step 5: Solve for x
    x = 495,203,426.64/32,380.68
  6. Step 6: Final answer
    x = 15,293.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.