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Finding the Fourth Proportional to 71,654.65, 107,481.83 and 19,064.14

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Solution

The fourth proportional to 71,654.65, 107,481.83 and 19,064.14 is: 28,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.65 : 107,481.83 = 19,064.14 : x
  2. Step 2: Convert to fraction form
    71,654.65/107,481.83 = 19,064.14/x
  3. Step 3: Cross multiply
    71,654.65x = 107,481.83 × 19,064.14
  4. Step 4: Simplify right side
    71,654.65x = 2,049,048,290.55
  5. Step 5: Solve for x
    x = 2,049,048,290.55/71,654.65
  6. Step 6: Final answer
    x = 28,596.17

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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.