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Finding the Fourth Proportional to 55,286.40, 82,940.40 and 22,000.80

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Solution

The fourth proportional to 55,286.40, 82,940.40 and 22,000.80 is: 33,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.40 : 82,940.40 = 22,000.80 : x
  2. Step 2: Convert to fraction form
    55,286.40/82,940.40 = 22,000.80/x
  3. Step 3: Cross multiply
    55,286.40x = 82,940.40 × 22,000.80
  4. Step 4: Simplify right side
    55,286.40x = 1,824,755,152.32
  5. Step 5: Solve for x
    x = 1,824,755,152.32/55,286.40
  6. Step 6: Final answer
    x = 33,005.50

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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.