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Finding the Fourth Proportional to 55,224, 82,801.44 and 36,480.96

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Solution

The fourth proportional to 55,224, 82,801.44 and 36,480.96 is: 54,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 82,801.44 = 36,480.96 : x
  2. Step 2: Convert to fraction form
    55,224/82,801.44 = 36,480.96/x
  3. Step 3: Cross multiply
    55,224x = 82,801.44 × 36,480.96
  4. Step 4: Simplify right side
    55,224x = 3,020,676,020.58
  5. Step 5: Solve for x
    x = 3,020,676,020.58/55,224
  6. Step 6: Final answer
    x = 54,698.61

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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.