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Finding the Fourth Proportional to 71,774.88, 107,666.28 and 27,405.24

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Solution

The fourth proportional to 71,774.88, 107,666.28 and 27,405.24 is: 41,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774.88 : 107,666.28 = 27,405.24 : x
  2. Step 2: Convert to fraction form
    71,774.88/107,666.28 = 27,405.24/x
  3. Step 3: Cross multiply
    71,774.88x = 107,666.28 × 27,405.24
  4. Step 4: Simplify right side
    71,774.88x = 2,950,620,243.31
  5. Step 5: Solve for x
    x = 2,950,620,243.31/71,774.88
  6. Step 6: Final answer
    x = 41,109.37

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1.5x scale

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.