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Finding the Fourth Proportional to 55,213.98, 82,751.49 and 29,912.52

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Solution

The fourth proportional to 55,213.98, 82,751.49 and 29,912.52 is: 44,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.98 : 82,751.49 = 29,912.52 : x
  2. Step 2: Convert to fraction form
    55,213.98/82,751.49 = 29,912.52/x
  3. Step 3: Cross multiply
    55,213.98x = 82,751.49 × 29,912.52
  4. Step 4: Simplify right side
    55,213.98x = 2,475,305,444.50
  5. Step 5: Solve for x
    x = 2,475,305,444.50/55,213.98
  6. Step 6: Final answer
    x = 44,831.13

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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.