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Finding the Fourth Proportional to 73,447.88, 110,152.14 and 31,885

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Solution

The fourth proportional to 73,447.88, 110,152.14 and 31,885 is: 47,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,447.88 : 110,152.14 = 31,885 : x
  2. Step 2: Convert to fraction form
    73,447.88/110,152.14 = 31,885/x
  3. Step 3: Cross multiply
    73,447.88x = 110,152.14 × 31,885
  4. Step 4: Simplify right side
    73,447.88x = 3,512,200,983.90
  5. Step 5: Solve for x
    x = 3,512,200,983.90/73,447.88
  6. Step 6: Final answer
    x = 47,818.96

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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.