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Finding the Fourth Proportional to 71,946.65, 107,858.42 and 27,605.22

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Solution

The fourth proportional to 71,946.65, 107,858.42 and 27,605.22 is: 41,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.65 : 107,858.42 = 27,605.22 : x
  2. Step 2: Convert to fraction form
    71,946.65/107,858.42 = 27,605.22/x
  3. Step 3: Cross multiply
    71,946.65x = 107,858.42 × 27,605.22
  4. Step 4: Simplify right side
    71,946.65x = 2,977,455,481.97
  5. Step 5: Solve for x
    x = 2,977,455,481.97/71,946.65
  6. Step 6: Final answer
    x = 41,384.22

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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.