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Finding the Fourth Proportional to 32,452.68, 48,680.73 and 10,268.40

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Solution

The fourth proportional to 32,452.68, 48,680.73 and 10,268.40 is: 15,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.68 : 48,680.73 = 10,268.40 : x
  2. Step 2: Convert to fraction form
    32,452.68/48,680.73 = 10,268.40/x
  3. Step 3: Cross multiply
    32,452.68x = 48,680.73 × 10,268.40
  4. Step 4: Simplify right side
    32,452.68x = 499,873,207.93
  5. Step 5: Solve for x
    x = 499,873,207.93/32,452.68
  6. Step 6: Final answer
    x = 15,403.14

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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.