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Finding the Fourth Proportional to 33,204.42, 49,810.95 and 12,141.18

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Solution

The fourth proportional to 33,204.42, 49,810.95 and 12,141.18 is: 18,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.42 : 49,810.95 = 12,141.18 : x
  2. Step 2: Convert to fraction form
    33,204.42/49,810.95 = 12,141.18/x
  3. Step 3: Cross multiply
    33,204.42x = 49,810.95 × 12,141.18
  4. Step 4: Simplify right side
    33,204.42x = 604,763,709.92
  5. Step 5: Solve for x
    x = 604,763,709.92/33,204.42
  6. Step 6: Final answer
    x = 18,213.35

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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.