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Finding the Fourth Proportional to 71,333.62, 106,835.94 and 51,218.24

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Solution

The fourth proportional to 71,333.62, 106,835.94 and 51,218.24 is: 76,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,333.62 : 106,835.94 = 51,218.24 : x
  2. Step 2: Convert to fraction form
    71,333.62/106,835.94 = 51,218.24/x
  3. Step 3: Cross multiply
    71,333.62x = 106,835.94 × 51,218.24
  4. Step 4: Simplify right side
    71,333.62x = 5,471,948,281.37
  5. Step 5: Solve for x
    x = 5,471,948,281.37/71,333.62
  6. Step 6: Final answer
    x = 76,709.25

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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.