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Finding the Fourth Proportional to 32,674.93, 49,014.22 and 9,299.55

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Solution

The fourth proportional to 32,674.93, 49,014.22 and 9,299.55 is: 13,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.93 : 49,014.22 = 9,299.55 : x
  2. Step 2: Convert to fraction form
    32,674.93/49,014.22 = 9,299.55/x
  3. Step 3: Cross multiply
    32,674.93x = 49,014.22 × 9,299.55
  4. Step 4: Simplify right side
    32,674.93x = 455,810,189.60
  5. Step 5: Solve for x
    x = 455,810,189.60/32,674.93
  6. Step 6: Final answer
    x = 13,949.84

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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.