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Finding the Fourth Proportional to 30,642.84, 42,288.48 and 18,067.86

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Solution

The fourth proportional to 30,642.84, 42,288.48 and 18,067.86 is: 24,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.84 : 42,288.48 = 18,067.86 : x
  2. Step 2: Convert to fraction form
    30,642.84/42,288.48 = 18,067.86/x
  3. Step 3: Cross multiply
    30,642.84x = 42,288.48 × 18,067.86
  4. Step 4: Simplify right side
    30,642.84x = 764,062,336.25
  5. Step 5: Solve for x
    x = 764,062,336.25/30,642.84
  6. Step 6: Final answer
    x = 24,934.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.