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Finding the Fourth Proportional to 71,181.63, 106,736.40 and 23,779.85

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Solution

The fourth proportional to 71,181.63, 106,736.40 and 23,779.85 is: 35,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,181.63 : 106,736.40 = 23,779.85 : x
  2. Step 2: Convert to fraction form
    71,181.63/106,736.40 = 23,779.85/x
  3. Step 3: Cross multiply
    71,181.63x = 106,736.40 × 23,779.85
  4. Step 4: Simplify right side
    71,181.63x = 2,538,175,047.86
  5. Step 5: Solve for x
    x = 2,538,175,047.86/71,181.63
  6. Step 6: Final answer
    x = 35,657.73

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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.