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Finding the Fourth Proportional to 33,700.50, 50,551.97 and 12,638.40

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Solution

The fourth proportional to 33,700.50, 50,551.97 and 12,638.40 is: 18,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700.50 : 50,551.97 = 12,638.40 : x
  2. Step 2: Convert to fraction form
    33,700.50/50,551.97 = 12,638.40/x
  3. Step 3: Cross multiply
    33,700.50x = 50,551.97 × 12,638.40
  4. Step 4: Simplify right side
    33,700.50x = 638,895,954.46
  5. Step 5: Solve for x
    x = 638,895,954.46/33,700.50
  6. Step 6: Final answer
    x = 18,958.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.