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Finding the Fourth Proportional to 71,825.72, 107,744.34 and 19,234.76

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Solution

The fourth proportional to 71,825.72, 107,744.34 and 19,234.76 is: 28,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.72 : 107,744.34 = 19,234.76 : x
  2. Step 2: Convert to fraction form
    71,825.72/107,744.34 = 19,234.76/x
  3. Step 3: Cross multiply
    71,825.72x = 107,744.34 × 19,234.76
  4. Step 4: Simplify right side
    71,825.72x = 2,072,436,521.26
  5. Step 5: Solve for x
    x = 2,072,436,521.26/71,825.72
  6. Step 6: Final answer
    x = 28,853.68

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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.