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Finding the Fourth Proportional to 71,616.15, 107,427.87 and 26,627.54

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Solution

The fourth proportional to 71,616.15, 107,427.87 and 26,627.54 is: 39,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,616.15 : 107,427.87 = 26,627.54 : x
  2. Step 2: Convert to fraction form
    71,616.15/107,427.87 = 26,627.54/x
  3. Step 3: Cross multiply
    71,616.15x = 107,427.87 × 26,627.54
  4. Step 4: Simplify right side
    71,616.15x = 2,860,539,368.40
  5. Step 5: Solve for x
    x = 2,860,539,368.40/71,616.15
  6. Step 6: Final answer
    x = 39,942.66

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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.