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Finding the Fourth Proportional to 32,886.40, 49,297.20 and 16,232.80

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Solution

The fourth proportional to 32,886.40, 49,297.20 and 16,232.80 is: 24,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886.40 : 49,297.20 = 16,232.80 : x
  2. Step 2: Convert to fraction form
    32,886.40/49,297.20 = 16,232.80/x
  3. Step 3: Cross multiply
    32,886.40x = 49,297.20 × 16,232.80
  4. Step 4: Simplify right side
    32,886.40x = 800,231,588.16
  5. Step 5: Solve for x
    x = 800,231,588.16/32,886.40
  6. Step 6: Final answer
    x = 24,333.21

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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.