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Finding the Fourth Proportional to 33,191.90, 49,788.24 and 9,818.80

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Solution

The fourth proportional to 33,191.90, 49,788.24 and 9,818.80 is: 14,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.90 : 49,788.24 = 9,818.80 : x
  2. Step 2: Convert to fraction form
    33,191.90/49,788.24 = 9,818.80/x
  3. Step 3: Cross multiply
    33,191.90x = 49,788.24 × 9,818.80
  4. Step 4: Simplify right side
    33,191.90x = 488,860,770.91
  5. Step 5: Solve for x
    x = 488,860,770.91/33,191.90
  6. Step 6: Final answer
    x = 14,728.32

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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.