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Finding the Fourth Proportional to 71,836, 107,771.28 and 22,588

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Solution

The fourth proportional to 71,836, 107,771.28 and 22,588 is: 33,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836 : 107,771.28 = 22,588 : x
  2. Step 2: Convert to fraction form
    71,836/107,771.28 = 22,588/x
  3. Step 3: Cross multiply
    71,836x = 107,771.28 × 22,588
  4. Step 4: Simplify right side
    71,836x = 2,434,337,672.64
  5. Step 5: Solve for x
    x = 2,434,337,672.64/71,836
  6. Step 6: Final answer
    x = 33,887.43

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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.