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Finding the Fourth Proportional to 72,114.56, 108,142.62 and 29,966

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Solution

The fourth proportional to 72,114.56, 108,142.62 and 29,966 is: 44,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114.56 : 108,142.62 = 29,966 : x
  2. Step 2: Convert to fraction form
    72,114.56/108,142.62 = 29,966/x
  3. Step 3: Cross multiply
    72,114.56x = 108,142.62 × 29,966
  4. Step 4: Simplify right side
    72,114.56x = 3,240,601,750.92
  5. Step 5: Solve for x
    x = 3,240,601,750.92/72,114.56
  6. Step 6: Final answer
    x = 44,936.86

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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.