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Finding the Fourth Proportional to 83,107.83, 124,661.75 and 20,778.33

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Solution

The fourth proportional to 83,107.83, 124,661.75 and 20,778.33 is: 31,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.83 : 124,661.75 = 20,778.33 : x
  2. Step 2: Convert to fraction form
    83,107.83/124,661.75 = 20,778.33/x
  3. Step 3: Cross multiply
    83,107.83x = 124,661.75 × 20,778.33
  4. Step 4: Simplify right side
    83,107.83x = 2,590,262,642.25
  5. Step 5: Solve for x
    x = 2,590,262,642.25/83,107.83
  6. Step 6: Final answer
    x = 31,167.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.