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Finding the Fourth Proportional to 33,184.90, 49,776.71 and 8,225

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Solution

The fourth proportional to 33,184.90, 49,776.71 and 8,225 is: 12,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.90 : 49,776.71 = 8,225 : x
  2. Step 2: Convert to fraction form
    33,184.90/49,776.71 = 8,225/x
  3. Step 3: Cross multiply
    33,184.90x = 49,776.71 × 8,225
  4. Step 4: Simplify right side
    33,184.90x = 409,413,439.75
  5. Step 5: Solve for x
    x = 409,413,439.75/33,184.90
  6. Step 6: Final answer
    x = 12,337.34

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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.