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Finding the Fourth Proportional to 29,241.56, 43,865.10 and 8,181.58

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Solution

The fourth proportional to 29,241.56, 43,865.10 and 8,181.58 is: 12,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241.56 : 43,865.10 = 8,181.58 : x
  2. Step 2: Convert to fraction form
    29,241.56/43,865.10 = 8,181.58/x
  3. Step 3: Cross multiply
    29,241.56x = 43,865.10 × 8,181.58
  4. Step 4: Simplify right side
    29,241.56x = 358,885,824.86
  5. Step 5: Solve for x
    x = 358,885,824.86/29,241.56
  6. Step 6: Final answer
    x = 12,273.14

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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.