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Finding the Fourth Proportional to 32,843.28, 49,264.08 and 9,150.72

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Solution

The fourth proportional to 32,843.28, 49,264.08 and 9,150.72 is: 13,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.28 : 49,264.08 = 9,150.72 : x
  2. Step 2: Convert to fraction form
    32,843.28/49,264.08 = 9,150.72/x
  3. Step 3: Cross multiply
    32,843.28x = 49,264.08 × 9,150.72
  4. Step 4: Simplify right side
    32,843.28x = 450,801,802.14
  5. Step 5: Solve for x
    x = 450,801,802.14/32,843.28
  6. Step 6: Final answer
    x = 13,725.85

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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.