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Finding the Fourth Proportional to 57,642.71, 86,480.78 and 23,902.47

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Solution

The fourth proportional to 57,642.71, 86,480.78 and 23,902.47 is: 35,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.71 : 86,480.78 = 23,902.47 : x
  2. Step 2: Convert to fraction form
    57,642.71/86,480.78 = 23,902.47/x
  3. Step 3: Cross multiply
    57,642.71x = 86,480.78 × 23,902.47
  4. Step 4: Simplify right side
    57,642.71x = 2,067,104,249.53
  5. Step 5: Solve for x
    x = 2,067,104,249.53/57,642.71
  6. Step 6: Final answer
    x = 35,860.64

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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.