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Finding the Fourth Proportional to 55,222, 82,801.41 and 25,624.60

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Solution

The fourth proportional to 55,222, 82,801.41 and 25,624.60 is: 38,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222 : 82,801.41 = 25,624.60 : x
  2. Step 2: Convert to fraction form
    55,222/82,801.41 = 25,624.60/x
  3. Step 3: Cross multiply
    55,222x = 82,801.41 × 25,624.60
  4. Step 4: Simplify right side
    55,222x = 2,121,753,010.69
  5. Step 5: Solve for x
    x = 2,121,753,010.69/55,222
  6. Step 6: Final answer
    x = 38,422.24

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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.