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Finding the Fourth Proportional to 32,770.25, 49,155.56 and 8,146.25

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Solution

The fourth proportional to 32,770.25, 49,155.56 and 8,146.25 is: 12,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.25 : 49,155.56 = 8,146.25 : x
  2. Step 2: Convert to fraction form
    32,770.25/49,155.56 = 8,146.25/x
  3. Step 3: Cross multiply
    32,770.25x = 49,155.56 × 8,146.25
  4. Step 4: Simplify right side
    32,770.25x = 400,433,480.65
  5. Step 5: Solve for x
    x = 400,433,480.65/32,770.25
  6. Step 6: Final answer
    x = 12,219.42

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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.