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Finding the Fourth Proportional to 32,963.32, 49,446.35 and 9,589.76

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Solution

The fourth proportional to 32,963.32, 49,446.35 and 9,589.76 is: 14,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.32 : 49,446.35 = 9,589.76 : x
  2. Step 2: Convert to fraction form
    32,963.32/49,446.35 = 9,589.76/x
  3. Step 3: Cross multiply
    32,963.32x = 49,446.35 × 9,589.76
  4. Step 4: Simplify right side
    32,963.32x = 474,178,629.38
  5. Step 5: Solve for x
    x = 474,178,629.38/32,963.32
  6. Step 6: Final answer
    x = 14,385.04

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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.