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Finding the Fourth Proportional to 33,627.90, 50,440.02 and 10,252.50

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Solution

The fourth proportional to 33,627.90, 50,440.02 and 10,252.50 is: 15,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627.90 : 50,440.02 = 10,252.50 : x
  2. Step 2: Convert to fraction form
    33,627.90/50,440.02 = 10,252.50/x
  3. Step 3: Cross multiply
    33,627.90x = 50,440.02 × 10,252.50
  4. Step 4: Simplify right side
    33,627.90x = 517,136,305.05
  5. Step 5: Solve for x
    x = 517,136,305.05/33,627.90
  6. Step 6: Final answer
    x = 15,378.19

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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.