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Finding the Fourth Proportional to 73,446.88, 110,150.64 and 31,884

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Solution

The fourth proportional to 73,446.88, 110,150.64 and 31,884 is: 47,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446.88 : 110,150.64 = 31,884 : x
  2. Step 2: Convert to fraction form
    73,446.88/110,150.64 = 31,884/x
  3. Step 3: Cross multiply
    73,446.88x = 110,150.64 × 31,884
  4. Step 4: Simplify right side
    73,446.88x = 3,512,043,005.76
  5. Step 5: Solve for x
    x = 3,512,043,005.76/73,446.88
  6. Step 6: Final answer
    x = 47,817.46

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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.