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Finding the Fourth Proportional to 71,840.93, 107,767.89 and 27,468.07

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Solution

The fourth proportional to 71,840.93, 107,767.89 and 27,468.07 is: 41,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.93 : 107,767.89 = 27,468.07 : x
  2. Step 2: Convert to fraction form
    71,840.93/107,767.89 = 27,468.07/x
  3. Step 3: Cross multiply
    71,840.93x = 107,767.89 × 27,468.07
  4. Step 4: Simplify right side
    71,840.93x = 2,960,175,573.85
  5. Step 5: Solve for x
    x = 2,960,175,573.85/71,840.93
  6. Step 6: Final answer
    x = 41,204.58

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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.