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Finding the Fourth Proportional to 71,814.84, 107,722.32 and 34,366.12

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Solution

The fourth proportional to 71,814.84, 107,722.32 and 34,366.12 is: 51,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.84 : 107,722.32 = 34,366.12 : x
  2. Step 2: Convert to fraction form
    71,814.84/107,722.32 = 34,366.12/x
  3. Step 3: Cross multiply
    71,814.84x = 107,722.32 × 34,366.12
  4. Step 4: Simplify right side
    71,814.84x = 3,701,998,175.80
  5. Step 5: Solve for x
    x = 3,701,998,175.80/71,814.84
  6. Step 6: Final answer
    x = 51,549.21

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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.