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Finding the Fourth Proportional to 71,216.33, 106,861.62 and 51,656.34

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Solution

The fourth proportional to 71,216.33, 106,861.62 and 51,656.34 is: 77,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,216.33 : 106,861.62 = 51,656.34 : x
  2. Step 2: Convert to fraction form
    71,216.33/106,861.62 = 51,656.34/x
  3. Step 3: Cross multiply
    71,216.33x = 106,861.62 × 51,656.34
  4. Step 4: Simplify right side
    71,216.33x = 5,520,080,175.67
  5. Step 5: Solve for x
    x = 5,520,080,175.67/71,216.33
  6. Step 6: Final answer
    x = 77,511.44

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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.