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Finding the Fourth Proportional to 32,963.16, 49,446.10 and 9,589.59

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Solution

The fourth proportional to 32,963.16, 49,446.10 and 9,589.59 is: 14,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.16 : 49,446.10 = 9,589.59 : x
  2. Step 2: Convert to fraction form
    32,963.16/49,446.10 = 9,589.59/x
  3. Step 3: Cross multiply
    32,963.16x = 49,446.10 × 9,589.59
  4. Step 4: Simplify right side
    32,963.16x = 474,167,923.21
  5. Step 5: Solve for x
    x = 474,167,923.21/32,963.16
  6. Step 6: Final answer
    x = 14,384.79

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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.