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Finding the Fourth Proportional to 71,354.52, 107,031.78 and 24,603.75

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Solution

The fourth proportional to 71,354.52, 107,031.78 and 24,603.75 is: 36,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.52 : 107,031.78 = 24,603.75 : x
  2. Step 2: Convert to fraction form
    71,354.52/107,031.78 = 24,603.75/x
  3. Step 3: Cross multiply
    71,354.52x = 107,031.78 × 24,603.75
  4. Step 4: Simplify right side
    71,354.52x = 2,633,383,157.18
  5. Step 5: Solve for x
    x = 2,633,383,157.18/71,354.52
  6. Step 6: Final answer
    x = 36,905.63

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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.