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Finding the Fourth Proportional to 33,180.76, 49,778.36 and 9,809.08

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Solution

The fourth proportional to 33,180.76, 49,778.36 and 9,809.08 is: 14,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.76 : 49,778.36 = 9,809.08 : x
  2. Step 2: Convert to fraction form
    33,180.76/49,778.36 = 9,809.08/x
  3. Step 3: Cross multiply
    33,180.76x = 49,778.36 × 9,809.08
  4. Step 4: Simplify right side
    33,180.76x = 488,279,915.51
  5. Step 5: Solve for x
    x = 488,279,915.51/33,180.76
  6. Step 6: Final answer
    x = 14,715.75

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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.