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Finding the Fourth Proportional to 73,605.72, 110,433.78 and 31,468.44

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Solution

The fourth proportional to 73,605.72, 110,433.78 and 31,468.44 is: 47,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,605.72 : 110,433.78 = 31,468.44 : x
  2. Step 2: Convert to fraction form
    73,605.72/110,433.78 = 31,468.44/x
  3. Step 3: Cross multiply
    73,605.72x = 110,433.78 × 31,468.44
  4. Step 4: Simplify right side
    73,605.72x = 3,475,178,779.90
  5. Step 5: Solve for x
    x = 3,475,178,779.90/73,605.72
  6. Step 6: Final answer
    x = 47,213.43

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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.