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Finding the Fourth Proportional to 71,496.62, 107,175.22 and 34,046.64

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Solution

The fourth proportional to 71,496.62, 107,175.22 and 34,046.64 is: 51,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496.62 : 107,175.22 = 34,046.64 : x
  2. Step 2: Convert to fraction form
    71,496.62/107,175.22 = 34,046.64/x
  3. Step 3: Cross multiply
    71,496.62x = 107,175.22 × 34,046.64
  4. Step 4: Simplify right side
    71,496.62x = 3,648,956,047.14
  5. Step 5: Solve for x
    x = 3,648,956,047.14/71,496.62
  6. Step 6: Final answer
    x = 51,036.76

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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.