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Finding the Fourth Proportional to 71,589.92, 107,384.96 and 27,206.24

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Solution

The fourth proportional to 71,589.92, 107,384.96 and 27,206.24 is: 40,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589.92 : 107,384.96 = 27,206.24 : x
  2. Step 2: Convert to fraction form
    71,589.92/107,384.96 = 27,206.24/x
  3. Step 3: Cross multiply
    71,589.92x = 107,384.96 × 27,206.24
  4. Step 4: Simplify right side
    71,589.92x = 2,921,540,994.15
  5. Step 5: Solve for x
    x = 2,921,540,994.15/71,589.92
  6. Step 6: Final answer
    x = 40,809.39

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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.