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Finding the Fourth Proportional to 83,078.25, 124,669.22 and 33,830.25

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Solution

The fourth proportional to 83,078.25, 124,669.22 and 33,830.25 is: 50,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.25 : 124,669.22 = 33,830.25 : x
  2. Step 2: Convert to fraction form
    83,078.25/124,669.22 = 33,830.25/x
  3. Step 3: Cross multiply
    83,078.25x = 124,669.22 × 33,830.25
  4. Step 4: Simplify right side
    83,078.25x = 4,217,590,710.75
  5. Step 5: Solve for x
    x = 4,217,590,710.75/83,078.25
  6. Step 6: Final answer
    x = 50,766.48

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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.