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Finding the Fourth Proportional to 83,212.46, 124,792.77 and 27,795.50

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Solution

The fourth proportional to 83,212.46, 124,792.77 and 27,795.50 is: 41,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.46 : 124,792.77 = 27,795.50 : x
  2. Step 2: Convert to fraction form
    83,212.46/124,792.77 = 27,795.50/x
  3. Step 3: Cross multiply
    83,212.46x = 124,792.77 × 27,795.50
  4. Step 4: Simplify right side
    83,212.46x = 3,468,677,438.54
  5. Step 5: Solve for x
    x = 3,468,677,438.54/83,212.46
  6. Step 6: Final answer
    x = 41,684.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.