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Finding the Fourth Proportional to 32,963.36, 49,446.40 and 9,589.79

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Solution

The fourth proportional to 32,963.36, 49,446.40 and 9,589.79 is: 14,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.36 : 49,446.40 = 9,589.79 : x
  2. Step 2: Convert to fraction form
    32,963.36/49,446.40 = 9,589.79/x
  3. Step 3: Cross multiply
    32,963.36x = 49,446.40 × 9,589.79
  4. Step 4: Simplify right side
    32,963.36x = 474,180,727.86
  5. Step 5: Solve for x
    x = 474,180,727.86/32,963.36
  6. Step 6: Final answer
    x = 14,385.09

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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.