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Finding the Fourth Proportional to 33,178.24, 49,768.32 and 8,554.24

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Solution

The fourth proportional to 33,178.24, 49,768.32 and 8,554.24 is: 12,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.24 : 49,768.32 = 8,554.24 : x
  2. Step 2: Convert to fraction form
    33,178.24/49,768.32 = 8,554.24/x
  3. Step 3: Cross multiply
    33,178.24x = 49,768.32 × 8,554.24
  4. Step 4: Simplify right side
    33,178.24x = 425,730,153.68
  5. Step 5: Solve for x
    x = 425,730,153.68/33,178.24
  6. Step 6: Final answer
    x = 12,831.61

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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.