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Finding the Fourth Proportional to 71,409.26, 107,114.85 and 27,024.09

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Solution

The fourth proportional to 71,409.26, 107,114.85 and 27,024.09 is: 40,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.26 : 107,114.85 = 27,024.09 : x
  2. Step 2: Convert to fraction form
    71,409.26/107,114.85 = 27,024.09/x
  3. Step 3: Cross multiply
    71,409.26x = 107,114.85 × 27,024.09
  4. Step 4: Simplify right side
    71,409.26x = 2,894,681,346.74
  5. Step 5: Solve for x
    x = 2,894,681,346.74/71,409.26
  6. Step 6: Final answer
    x = 40,536.50

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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.