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Finding the Fourth Proportional to 33,211.89, 49,818.24 and 9,838.80

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Solution

The fourth proportional to 33,211.89, 49,818.24 and 9,838.80 is: 14,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.89 : 49,818.24 = 9,838.80 : x
  2. Step 2: Convert to fraction form
    33,211.89/49,818.24 = 9,838.80/x
  3. Step 3: Cross multiply
    33,211.89x = 49,818.24 × 9,838.80
  4. Step 4: Simplify right side
    33,211.89x = 490,151,699.71
  5. Step 5: Solve for x
    x = 490,151,699.71/33,211.89
  6. Step 6: Final answer
    x = 14,758.32

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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.