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Finding the Fourth Proportional to 72,467.84, 108,650.84 and 31,922.12

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Solution

The fourth proportional to 72,467.84, 108,650.84 and 31,922.12 is: 47,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467.84 : 108,650.84 = 31,922.12 : x
  2. Step 2: Convert to fraction form
    72,467.84/108,650.84 = 31,922.12/x
  3. Step 3: Cross multiply
    72,467.84x = 108,650.84 × 31,922.12
  4. Step 4: Simplify right side
    72,467.84x = 3,468,364,833.00
  5. Step 5: Solve for x
    x = 3,468,364,833.00/72,467.84
  6. Step 6: Final answer
    x = 47,860.74

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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.