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Finding the Fourth Proportional to 29,133, 43,699.62 and 10,665

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Solution

The fourth proportional to 29,133, 43,699.62 and 10,665 is: 15,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133 : 43,699.62 = 10,665 : x
  2. Step 2: Convert to fraction form
    29,133/43,699.62 = 10,665/x
  3. Step 3: Cross multiply
    29,133x = 43,699.62 × 10,665
  4. Step 4: Simplify right side
    29,133x = 466,056,447.30
  5. Step 5: Solve for x
    x = 466,056,447.30/29,133
  6. Step 6: Final answer
    x = 15,997.54

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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.