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Finding the Fourth Proportional to 81,805.82, 122,708.58 and 22,641.32

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Solution

The fourth proportional to 81,805.82, 122,708.58 and 22,641.32 is: 33,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.82 : 122,708.58 = 22,641.32 : x
  2. Step 2: Convert to fraction form
    81,805.82/122,708.58 = 22,641.32/x
  3. Step 3: Cross multiply
    81,805.82x = 122,708.58 × 22,641.32
  4. Step 4: Simplify right side
    81,805.82x = 2,778,284,226.53
  5. Step 5: Solve for x
    x = 2,778,284,226.53/81,805.82
  6. Step 6: Final answer
    x = 33,961.94

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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.