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Finding the Fourth Proportional to 32,936.36, 49,405.88 and 9,562.79

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Solution

The fourth proportional to 32,936.36, 49,405.88 and 9,562.79 is: 14,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936.36 : 49,405.88 = 9,562.79 : x
  2. Step 2: Convert to fraction form
    32,936.36/49,405.88 = 9,562.79/x
  3. Step 3: Cross multiply
    32,936.36x = 49,405.88 × 9,562.79
  4. Step 4: Simplify right side
    32,936.36x = 472,458,202.63
  5. Step 5: Solve for x
    x = 472,458,202.63/32,936.36
  6. Step 6: Final answer
    x = 14,344.58

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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.