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Finding the Fourth Proportional to 29,242.89, 43,856.53 and 8,181.63

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Solution

The fourth proportional to 29,242.89, 43,856.53 and 8,181.63 is: 12,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.89 : 43,856.53 = 8,181.63 : x
  2. Step 2: Convert to fraction form
    29,242.89/43,856.53 = 8,181.63/x
  3. Step 3: Cross multiply
    29,242.89x = 43,856.53 × 8,181.63
  4. Step 4: Simplify right side
    29,242.89x = 358,817,901.54
  5. Step 5: Solve for x
    x = 358,817,901.54/29,242.89
  6. Step 6: Final answer
    x = 12,270.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.