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Finding the Fourth Proportional to 71,855.29, 107,796.01 and 24,467.96

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Solution

The fourth proportional to 71,855.29, 107,796.01 and 24,467.96 is: 36,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855.29 : 107,796.01 = 24,467.96 : x
  2. Step 2: Convert to fraction form
    71,855.29/107,796.01 = 24,467.96/x
  3. Step 3: Cross multiply
    71,855.29x = 107,796.01 × 24,467.96
  4. Step 4: Simplify right side
    71,855.29x = 2,637,548,460.84
  5. Step 5: Solve for x
    x = 2,637,548,460.84/71,855.29
  6. Step 6: Final answer
    x = 36,706.39

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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.