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Finding the Fourth Proportional to 106,791.66, 160,170.66 and 35,713.74

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Solution

The fourth proportional to 106,791.66, 160,170.66 and 35,713.74 is: 53,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,791.66 : 160,170.66 = 35,713.74 : x
  2. Step 2: Convert to fraction form
    106,791.66/160,170.66 = 35,713.74/x
  3. Step 3: Cross multiply
    106,791.66x = 160,170.66 × 35,713.74
  4. Step 4: Simplify right side
    106,791.66x = 5,720,293,306.87
  5. Step 5: Solve for x
    x = 5,720,293,306.87/106,791.66
  6. Step 6: Final answer
    x = 53,564.98

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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.