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Finding the Fourth Proportional to 51,661.44, 77,512.68 and 22,078.44

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Solution

The fourth proportional to 51,661.44, 77,512.68 and 22,078.44 is: 33,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661.44 : 77,512.68 = 22,078.44 : x
  2. Step 2: Convert to fraction form
    51,661.44/77,512.68 = 22,078.44/x
  3. Step 3: Cross multiply
    51,661.44x = 77,512.68 × 22,078.44
  4. Step 4: Simplify right side
    51,661.44x = 1,711,359,054.62
  5. Step 5: Solve for x
    x = 1,711,359,054.62/51,661.44
  6. Step 6: Final answer
    x = 33,126.43

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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.