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Finding the Fourth Proportional to 106,657.80, 159,995.87 and 27,772.17

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Solution

The fourth proportional to 106,657.80, 159,995.87 and 27,772.17 is: 41,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657.80 : 159,995.87 = 27,772.17 : x
  2. Step 2: Convert to fraction form
    106,657.80/159,995.87 = 27,772.17/x
  3. Step 3: Cross multiply
    106,657.80x = 159,995.87 × 27,772.17
  4. Step 4: Simplify right side
    106,657.80x = 4,443,432,500.94
  5. Step 5: Solve for x
    x = 4,443,432,500.94/106,657.80
  6. Step 6: Final answer
    x = 41,660.64

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1.5x scale

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.