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Finding the Fourth Proportional to 32,198.78, 48,292.62 and 8,506.59

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Solution

The fourth proportional to 32,198.78, 48,292.62 and 8,506.59 is: 12,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.78 : 48,292.62 = 8,506.59 : x
  2. Step 2: Convert to fraction form
    32,198.78/48,292.62 = 8,506.59/x
  3. Step 3: Cross multiply
    32,198.78x = 48,292.62 × 8,506.59
  4. Step 4: Simplify right side
    32,198.78x = 410,805,305.37
  5. Step 5: Solve for x
    x = 410,805,305.37/32,198.78
  6. Step 6: Final answer
    x = 12,758.41

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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.