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Finding the Fourth Proportional to 32,963.60, 49,431 and 9,589.52

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Solution

The fourth proportional to 32,963.60, 49,431 and 9,589.52 is: 14,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.60 : 49,431 = 9,589.52 : x
  2. Step 2: Convert to fraction form
    32,963.60/49,431 = 9,589.52/x
  3. Step 3: Cross multiply
    32,963.60x = 49,431 × 9,589.52
  4. Step 4: Simplify right side
    32,963.60x = 474,019,563.12
  5. Step 5: Solve for x
    x = 474,019,563.12/32,963.60
  6. Step 6: Final answer
    x = 14,380.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.