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Finding the Fourth Proportional to 33,539.61, 50,307.92 and 9,846.21

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Solution

The fourth proportional to 33,539.61, 50,307.92 and 9,846.21 is: 14,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539.61 : 50,307.92 = 9,846.21 : x
  2. Step 2: Convert to fraction form
    33,539.61/50,307.92 = 9,846.21/x
  3. Step 3: Cross multiply
    33,539.61x = 50,307.92 × 9,846.21
  4. Step 4: Simplify right side
    33,539.61x = 495,342,295.75
  5. Step 5: Solve for x
    x = 495,342,295.75/33,539.61
  6. Step 6: Final answer
    x = 14,768.87

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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.