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Finding the Fourth Proportional to 106,812.45, 160,204.77 and 27,932.76

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Solution

The fourth proportional to 106,812.45, 160,204.77 and 27,932.76 is: 41,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,812.45 : 160,204.77 = 27,932.76 : x
  2. Step 2: Convert to fraction form
    106,812.45/160,204.77 = 27,932.76/x
  3. Step 3: Cross multiply
    106,812.45x = 160,204.77 × 27,932.76
  4. Step 4: Simplify right side
    106,812.45x = 4,474,961,391.27
  5. Step 5: Solve for x
    x = 4,474,961,391.27/106,812.45
  6. Step 6: Final answer
    x = 41,895.50

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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.