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Finding the Fourth Proportional to 106,657.51, 159,995.84 and 27,772.42

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Solution

The fourth proportional to 106,657.51, 159,995.84 and 27,772.42 is: 41,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657.51 : 159,995.84 = 27,772.42 : x
  2. Step 2: Convert to fraction form
    106,657.51/159,995.84 = 27,772.42/x
  3. Step 3: Cross multiply
    106,657.51x = 159,995.84 × 27,772.42
  4. Step 4: Simplify right side
    106,657.51x = 4,443,471,666.73
  5. Step 5: Solve for x
    x = 4,443,471,666.73/106,657.51
  6. Step 6: Final answer
    x = 41,661.12

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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.