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Finding the Fourth Proportional to 73,922.30, 110,822.70 and 31,834.70

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Solution

The fourth proportional to 73,922.30, 110,822.70 and 31,834.70 is: 47,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922.30 : 110,822.70 = 31,834.70 : x
  2. Step 2: Convert to fraction form
    73,922.30/110,822.70 = 31,834.70/x
  3. Step 3: Cross multiply
    73,922.30x = 110,822.70 × 31,834.70
  4. Step 4: Simplify right side
    73,922.30x = 3,528,007,407.69
  5. Step 5: Solve for x
    x = 3,528,007,407.69/73,922.30
  6. Step 6: Final answer
    x = 47,725.89

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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.