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Finding the Fourth Proportional to 71,850.74, 107,733.81 and 27,480.74

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Solution

The fourth proportional to 71,850.74, 107,733.81 and 27,480.74 is: 41,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.74 : 107,733.81 = 27,480.74 : x
  2. Step 2: Convert to fraction form
    71,850.74/107,733.81 = 27,480.74/x
  3. Step 3: Cross multiply
    71,850.74x = 107,733.81 × 27,480.74
  4. Step 4: Simplify right side
    71,850.74x = 2,960,604,821.82
  5. Step 5: Solve for x
    x = 2,960,604,821.82/71,850.74
  6. Step 6: Final answer
    x = 41,204.93

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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.