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Finding the Fourth Proportional to 33,205.70, 49,808.55 and 9,832.10

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Solution

The fourth proportional to 33,205.70, 49,808.55 and 9,832.10 is: 14,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.70 : 49,808.55 = 9,832.10 : x
  2. Step 2: Convert to fraction form
    33,205.70/49,808.55 = 9,832.10/x
  3. Step 3: Cross multiply
    33,205.70x = 49,808.55 × 9,832.10
  4. Step 4: Simplify right side
    33,205.70x = 489,722,644.46
  5. Step 5: Solve for x
    x = 489,722,644.46/33,205.70
  6. Step 6: Final answer
    x = 14,748.15

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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.