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Finding the Fourth Proportional to 32,865.68, 49,297.76 and 22,309.36

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Solution

The fourth proportional to 32,865.68, 49,297.76 and 22,309.36 is: 33,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.68 : 49,297.76 = 22,309.36 : x
  2. Step 2: Convert to fraction form
    32,865.68/49,297.76 = 22,309.36/x
  3. Step 3: Cross multiply
    32,865.68x = 49,297.76 × 22,309.36
  4. Step 4: Simplify right side
    32,865.68x = 1,099,801,475.03
  5. Step 5: Solve for x
    x = 1,099,801,475.03/32,865.68
  6. Step 6: Final answer
    x = 33,463.52

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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.