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Finding the Fourth Proportional to 71,564.99, 107,347.48 and 27,181.24

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Solution

The fourth proportional to 71,564.99, 107,347.48 and 27,181.24 is: 40,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.99 : 107,347.48 = 27,181.24 : x
  2. Step 2: Convert to fraction form
    71,564.99/107,347.48 = 27,181.24/x
  3. Step 3: Cross multiply
    71,564.99x = 107,347.48 × 27,181.24
  4. Step 4: Simplify right side
    71,564.99x = 2,917,837,280.95
  5. Step 5: Solve for x
    x = 2,917,837,280.95/71,564.99
  6. Step 6: Final answer
    x = 40,771.86

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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.