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Finding the Fourth Proportional to 52,180.48, 78,272.88 and 21,016

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Solution

The fourth proportional to 52,180.48, 78,272.88 and 21,016 is: 31,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180.48 : 78,272.88 = 21,016 : x
  2. Step 2: Convert to fraction form
    52,180.48/78,272.88 = 21,016/x
  3. Step 3: Cross multiply
    52,180.48x = 78,272.88 × 21,016
  4. Step 4: Simplify right side
    52,180.48x = 1,644,982,846.08
  5. Step 5: Solve for x
    x = 1,644,982,846.08/52,180.48
  6. Step 6: Final answer
    x = 31,524.87

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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.