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Finding the Fourth Proportional to 33,180.81, 49,770 and 8,220.93

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Solution

The fourth proportional to 33,180.81, 49,770 and 8,220.93 is: 12,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.81 : 49,770 = 8,220.93 : x
  2. Step 2: Convert to fraction form
    33,180.81/49,770 = 8,220.93/x
  3. Step 3: Cross multiply
    33,180.81x = 49,770 × 8,220.93
  4. Step 4: Simplify right side
    33,180.81x = 409,155,686.10
  5. Step 5: Solve for x
    x = 409,155,686.10/33,180.81
  6. Step 6: Final answer
    x = 12,331.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.