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Finding the Fourth Proportional to 71,835.75, 107,770.91 and 22,587.75

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Solution

The fourth proportional to 71,835.75, 107,770.91 and 22,587.75 is: 33,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.75 : 107,770.91 = 22,587.75 : x
  2. Step 2: Convert to fraction form
    71,835.75/107,770.91 = 22,587.75/x
  3. Step 3: Cross multiply
    71,835.75x = 107,770.91 × 22,587.75
  4. Step 4: Simplify right side
    71,835.75x = 2,434,302,259.41
  5. Step 5: Solve for x
    x = 2,434,302,259.41/71,835.75
  6. Step 6: Final answer
    x = 33,887.06

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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.