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Finding the Fourth Proportional to 33,225.60, 49,847.20 and 14,497.60

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Solution

The fourth proportional to 33,225.60, 49,847.20 and 14,497.60 is: 21,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.60 : 49,847.20 = 14,497.60 : x
  2. Step 2: Convert to fraction form
    33,225.60/49,847.20 = 14,497.60/x
  3. Step 3: Cross multiply
    33,225.60x = 49,847.20 × 14,497.60
  4. Step 4: Simplify right side
    33,225.60x = 722,664,766.72
  5. Step 5: Solve for x
    x = 722,664,766.72/33,225.60
  6. Step 6: Final answer
    x = 21,750.24

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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.