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Finding the Fourth Proportional to 30,515.40, 42,067.89 and 22,434.78

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Solution

The fourth proportional to 30,515.40, 42,067.89 and 22,434.78 is: 30,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.40 : 42,067.89 = 22,434.78 : x
  2. Step 2: Convert to fraction form
    30,515.40/42,067.89 = 22,434.78/x
  3. Step 3: Cross multiply
    30,515.40x = 42,067.89 × 22,434.78
  4. Step 4: Simplify right side
    30,515.40x = 943,783,857.21
  5. Step 5: Solve for x
    x = 943,783,857.21/30,515.40
  6. Step 6: Final answer
    x = 30,928.12

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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.