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Finding the Fourth Proportional to 32,729.34, 49,092.78 and 9,355.70

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Solution

The fourth proportional to 32,729.34, 49,092.78 and 9,355.70 is: 14,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.34 : 49,092.78 = 9,355.70 : x
  2. Step 2: Convert to fraction form
    32,729.34/49,092.78 = 9,355.70/x
  3. Step 3: Cross multiply
    32,729.34x = 49,092.78 × 9,355.70
  4. Step 4: Simplify right side
    32,729.34x = 459,297,321.85
  5. Step 5: Solve for x
    x = 459,297,321.85/32,729.34
  6. Step 6: Final answer
    x = 14,033.20

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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.