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Finding the Fourth Proportional to 71,816.63, 107,745.49 and 24,442.16

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Solution

The fourth proportional to 71,816.63, 107,745.49 and 24,442.16 is: 36,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.63 : 107,745.49 = 24,442.16 : x
  2. Step 2: Convert to fraction form
    71,816.63/107,745.49 = 24,442.16/x
  3. Step 3: Cross multiply
    71,816.63x = 107,745.49 × 24,442.16
  4. Step 4: Simplify right side
    71,816.63x = 2,633,531,997.68
  5. Step 5: Solve for x
    x = 2,633,531,997.68/71,816.63
  6. Step 6: Final answer
    x = 36,670.23

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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.