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Finding the Fourth Proportional to 32,471.42, 48,667.92 and 15,806.48

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Solution

The fourth proportional to 32,471.42, 48,667.92 and 15,806.48 is: 23,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.42 : 48,667.92 = 15,806.48 : x
  2. Step 2: Convert to fraction form
    32,471.42/48,667.92 = 15,806.48/x
  3. Step 3: Cross multiply
    32,471.42x = 48,667.92 × 15,806.48
  4. Step 4: Simplify right side
    32,471.42x = 769,268,504.12
  5. Step 5: Solve for x
    x = 769,268,504.12/32,471.42
  6. Step 6: Final answer
    x = 23,690.63

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Why These Related Problems?

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