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Finding the Fourth Proportional to 33,858.54, 50,720.85 and 31,306.50

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Solution

The fourth proportional to 33,858.54, 50,720.85 and 31,306.50 is: 46,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,858.54 : 50,720.85 = 31,306.50 : x
  2. Step 2: Convert to fraction form
    33,858.54/50,720.85 = 31,306.50/x
  3. Step 3: Cross multiply
    33,858.54x = 50,720.85 × 31,306.50
  4. Step 4: Simplify right side
    33,858.54x = 1,587,892,290.53
  5. Step 5: Solve for x
    x = 1,587,892,290.53/33,858.54
  6. Step 6: Final answer
    x = 46,897.84

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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.