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Finding the Fourth Proportional to 33,974.60, 46,885.25 and 19,824.71

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Solution

The fourth proportional to 33,974.60, 46,885.25 and 19,824.71 is: 27,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974.60 : 46,885.25 = 19,824.71 : x
  2. Step 2: Convert to fraction form
    33,974.60/46,885.25 = 19,824.71/x
  3. Step 3: Cross multiply
    33,974.60x = 46,885.25 × 19,824.71
  4. Step 4: Simplify right side
    33,974.60x = 929,486,385.40
  5. Step 5: Solve for x
    x = 929,486,385.40/33,974.60
  6. Step 6: Final answer
    x = 27,358.27

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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.