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Finding the Fourth Proportional to 33,157.56, 49,724.34 and 14,436.60

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Solution

The fourth proportional to 33,157.56, 49,724.34 and 14,436.60 is: 21,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.56 : 49,724.34 = 14,436.60 : x
  2. Step 2: Convert to fraction form
    33,157.56/49,724.34 = 14,436.60/x
  3. Step 3: Cross multiply
    33,157.56x = 49,724.34 × 14,436.60
  4. Step 4: Simplify right side
    33,157.56x = 717,850,406.84
  5. Step 5: Solve for x
    x = 717,850,406.84/33,157.56
  6. Step 6: Final answer
    x = 21,649.68

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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.