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Finding the Fourth Proportional to 75,268.42, 112,902.63 and 25,344.33

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Solution

The fourth proportional to 75,268.42, 112,902.63 and 25,344.33 is: 38,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268.42 : 112,902.63 = 25,344.33 : x
  2. Step 2: Convert to fraction form
    75,268.42/112,902.63 = 25,344.33/x
  3. Step 3: Cross multiply
    75,268.42x = 112,902.63 × 25,344.33
  4. Step 4: Simplify right side
    75,268.42x = 2,861,441,668.12
  5. Step 5: Solve for x
    x = 2,861,441,668.12/75,268.42
  6. Step 6: Final answer
    x = 38,016.50

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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.