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Finding the Fourth Proportional to 71,509.82, 107,189.88 and 24,108.54

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Solution

The fourth proportional to 71,509.82, 107,189.88 and 24,108.54 is: 36,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.82 : 107,189.88 = 24,108.54 : x
  2. Step 2: Convert to fraction form
    71,509.82/107,189.88 = 24,108.54/x
  3. Step 3: Cross multiply
    71,509.82x = 107,189.88 × 24,108.54
  4. Step 4: Simplify right side
    71,509.82x = 2,584,191,509.58
  5. Step 5: Solve for x
    x = 2,584,191,509.58/71,509.82
  6. Step 6: Final answer
    x = 36,137.58

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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.