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Finding the Fourth Proportional to 71,869.52, 107,762.44 and 27,499.32

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Solution

The fourth proportional to 71,869.52, 107,762.44 and 27,499.32 is: 41,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,869.52 : 107,762.44 = 27,499.32 : x
  2. Step 2: Convert to fraction form
    71,869.52/107,762.44 = 27,499.32/x
  3. Step 3: Cross multiply
    71,869.52x = 107,762.44 × 27,499.32
  4. Step 4: Simplify right side
    71,869.52x = 2,963,393,821.54
  5. Step 5: Solve for x
    x = 2,963,393,821.54/71,869.52
  6. Step 6: Final answer
    x = 41,232.97

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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.