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Finding the Fourth Proportional to 33,189.60, 49,793.20 and 14,461.60

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Solution

The fourth proportional to 33,189.60, 49,793.20 and 14,461.60 is: 21,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.60 : 49,793.20 = 14,461.60 : x
  2. Step 2: Convert to fraction form
    33,189.60/49,793.20 = 14,461.60/x
  3. Step 3: Cross multiply
    33,189.60x = 49,793.20 × 14,461.60
  4. Step 4: Simplify right side
    33,189.60x = 720,089,341.12
  5. Step 5: Solve for x
    x = 720,089,341.12/33,189.60
  6. Step 6: Final answer
    x = 21,696.23

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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.