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Finding the Fourth Proportional to 71,992.91, 107,992.10 and 27,624.15

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Solution

The fourth proportional to 71,992.91, 107,992.10 and 27,624.15 is: 41,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,992.91 : 107,992.10 = 27,624.15 : x
  2. Step 2: Convert to fraction form
    71,992.91/107,992.10 = 27,624.15/x
  3. Step 3: Cross multiply
    71,992.91x = 107,992.10 × 27,624.15
  4. Step 4: Simplify right side
    71,992.91x = 2,983,190,038.28
  5. Step 5: Solve for x
    x = 2,983,190,038.28/71,992.91
  6. Step 6: Final answer
    x = 41,437.27

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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.