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Finding the Fourth Proportional to 52,872.44, 72,936.33 and 31,349.66

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Solution

The fourth proportional to 52,872.44, 72,936.33 and 31,349.66 is: 43,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872.44 : 72,936.33 = 31,349.66 : x
  2. Step 2: Convert to fraction form
    52,872.44/72,936.33 = 31,349.66/x
  3. Step 3: Cross multiply
    52,872.44x = 72,936.33 × 31,349.66
  4. Step 4: Simplify right side
    52,872.44x = 2,286,529,147.15
  5. Step 5: Solve for x
    x = 2,286,529,147.15/52,872.44
  6. Step 6: Final answer
    x = 43,246.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.