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Finding the Fourth Proportional to 73,900.90, 110,857.46 and 31,781.98

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Solution

The fourth proportional to 73,900.90, 110,857.46 and 31,781.98 is: 47,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,900.90 : 110,857.46 = 31,781.98 : x
  2. Step 2: Convert to fraction form
    73,900.90/110,857.46 = 31,781.98/x
  3. Step 3: Cross multiply
    73,900.90x = 110,857.46 × 31,781.98
  4. Step 4: Simplify right side
    73,900.90x = 3,523,269,576.57
  5. Step 5: Solve for x
    x = 3,523,269,576.57/73,900.90
  6. Step 6: Final answer
    x = 47,675.60

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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.