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Finding the Fourth Proportional to 55,236.75, 82,700.75 and 29,845.31

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Solution

The fourth proportional to 55,236.75, 82,700.75 and 29,845.31 is: 44,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,236.75 : 82,700.75 = 29,845.31 : x
  2. Step 2: Convert to fraction form
    55,236.75/82,700.75 = 29,845.31/x
  3. Step 3: Cross multiply
    55,236.75x = 82,700.75 × 29,845.31
  4. Step 4: Simplify right side
    55,236.75x = 2,468,229,371.76
  5. Step 5: Solve for x
    x = 2,468,229,371.76/55,236.75
  6. Step 6: Final answer
    x = 44,684.55

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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.