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Finding the Fourth Proportional to 81,806.94, 122,671.13 and 48,531.33

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Solution

The fourth proportional to 81,806.94, 122,671.13 and 48,531.33 is: 72,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.94 : 122,671.13 = 48,531.33 : x
  2. Step 2: Convert to fraction form
    81,806.94/122,671.13 = 48,531.33/x
  3. Step 3: Cross multiply
    81,806.94x = 122,671.13 × 48,531.33
  4. Step 4: Simplify right side
    81,806.94x = 5,953,392,848.85
  5. Step 5: Solve for x
    x = 5,953,392,848.85/81,806.94
  6. Step 6: Final answer
    x = 72,773.69

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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.