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Finding the Fourth Proportional to 33,180.13, 49,769.59 and 8,220.23

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Solution

The fourth proportional to 33,180.13, 49,769.59 and 8,220.23 is: 12,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.13 : 49,769.59 = 8,220.23 : x
  2. Step 2: Convert to fraction form
    33,180.13/49,769.59 = 8,220.23/x
  3. Step 3: Cross multiply
    33,180.13x = 49,769.59 × 8,220.23
  4. Step 4: Simplify right side
    33,180.13x = 409,117,689.41
  5. Step 5: Solve for x
    x = 409,117,689.41/33,180.13
  6. Step 6: Final answer
    x = 12,330.20

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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.