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Finding the Fourth Proportional to 33,577.60, 50,364.24 and 10,204.24

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Solution

The fourth proportional to 33,577.60, 50,364.24 and 10,204.24 is: 15,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577.60 : 50,364.24 = 10,204.24 : x
  2. Step 2: Convert to fraction form
    33,577.60/50,364.24 = 10,204.24/x
  3. Step 3: Cross multiply
    33,577.60x = 50,364.24 × 10,204.24
  4. Step 4: Simplify right side
    33,577.60x = 513,928,792.38
  5. Step 5: Solve for x
    x = 513,928,792.38/33,577.60
  6. Step 6: Final answer
    x = 15,305.70

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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.