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Finding the Fourth Proportional to 32,768.66, 49,147.52 and 9,389.63

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Solution

The fourth proportional to 32,768.66, 49,147.52 and 9,389.63 is: 14,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.66 : 49,147.52 = 9,389.63 : x
  2. Step 2: Convert to fraction form
    32,768.66/49,147.52 = 9,389.63/x
  3. Step 3: Cross multiply
    32,768.66x = 49,147.52 × 9,389.63
  4. Step 4: Simplify right side
    32,768.66x = 461,476,735.53
  5. Step 5: Solve for x
    x = 461,476,735.53/32,768.66
  6. Step 6: Final answer
    x = 14,082.87

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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.