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Finding the Fourth Proportional to 33,684.48, 50,557.94 and 17,056.24

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Solution

The fourth proportional to 33,684.48, 50,557.94 and 17,056.24 is: 25,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.48 : 50,557.94 = 17,056.24 : x
  2. Step 2: Convert to fraction form
    33,684.48/50,557.94 = 17,056.24/x
  3. Step 3: Cross multiply
    33,684.48x = 50,557.94 × 17,056.24
  4. Step 4: Simplify right side
    33,684.48x = 862,328,358.55
  5. Step 5: Solve for x
    x = 862,328,358.55/33,684.48
  6. Step 6: Final answer
    x = 25,600.17

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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.