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Finding the Fourth Proportional to 33,300, 49,984.20 and 25,984.44

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Solution

The fourth proportional to 33,300, 49,984.20 and 25,984.44 is: 39,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,300 : 49,984.20 = 25,984.44 : x
  2. Step 2: Convert to fraction form
    33,300/49,984.20 = 25,984.44/x
  3. Step 3: Cross multiply
    33,300x = 49,984.20 × 25,984.44
  4. Step 4: Simplify right side
    33,300x = 1,298,811,445.85
  5. Step 5: Solve for x
    x = 1,298,811,445.85/33,300
  6. Step 6: Final answer
    x = 39,003.35

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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.