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Finding the Fourth Proportional to 106,751.56, 160,127.35 and 27,865.87

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Solution

The fourth proportional to 106,751.56, 160,127.35 and 27,865.87 is: 41,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.56 : 160,127.35 = 27,865.87 : x
  2. Step 2: Convert to fraction form
    106,751.56/160,127.35 = 27,865.87/x
  3. Step 3: Cross multiply
    106,751.56x = 160,127.35 × 27,865.87
  4. Step 4: Simplify right side
    106,751.56x = 4,462,087,918.54
  5. Step 5: Solve for x
    x = 4,462,087,918.54/106,751.56
  6. Step 6: Final answer
    x = 41,798.81

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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.