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Finding the Fourth Proportional to 32,218.49, 48,311.92 and 13,239.69

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Solution

The fourth proportional to 32,218.49, 48,311.92 and 13,239.69 is: 19,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.49 : 48,311.92 = 13,239.69 : x
  2. Step 2: Convert to fraction form
    32,218.49/48,311.92 = 13,239.69/x
  3. Step 3: Cross multiply
    32,218.49x = 48,311.92 × 13,239.69
  4. Step 4: Simplify right side
    32,218.49x = 639,634,844.10
  5. Step 5: Solve for x
    x = 639,634,844.10/32,218.49
  6. Step 6: Final answer
    x = 19,853.04

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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.