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Finding the Fourth Proportional to 33,729.18, 50,592.54 and 10,355

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Solution

The fourth proportional to 33,729.18, 50,592.54 and 10,355 is: 15,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729.18 : 50,592.54 = 10,355 : x
  2. Step 2: Convert to fraction form
    33,729.18/50,592.54 = 10,355/x
  3. Step 3: Cross multiply
    33,729.18x = 50,592.54 × 10,355
  4. Step 4: Simplify right side
    33,729.18x = 523,885,751.70
  5. Step 5: Solve for x
    x = 523,885,751.70/33,729.18
  6. Step 6: Final answer
    x = 15,532.12

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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.