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Finding the Fourth Proportional to 69,177.81, 103,755.78 and 22,419.75

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Solution

The fourth proportional to 69,177.81, 103,755.78 and 22,419.75 is: 33,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,177.81 : 103,755.78 = 22,419.75 : x
  2. Step 2: Convert to fraction form
    69,177.81/103,755.78 = 22,419.75/x
  3. Step 3: Cross multiply
    69,177.81x = 103,755.78 × 22,419.75
  4. Step 4: Simplify right side
    69,177.81x = 2,326,178,648.66
  5. Step 5: Solve for x
    x = 2,326,178,648.66/69,177.81
  6. Step 6: Final answer
    x = 33,626.08

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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.