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Finding the Fourth Proportional to 77,606.25, 107,096.76 and 44,072.25

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Solution

The fourth proportional to 77,606.25, 107,096.76 and 44,072.25 is: 60,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606.25 : 107,096.76 = 44,072.25 : x
  2. Step 2: Convert to fraction form
    77,606.25/107,096.76 = 44,072.25/x
  3. Step 3: Cross multiply
    77,606.25x = 107,096.76 × 44,072.25
  4. Step 4: Simplify right side
    77,606.25x = 4,719,995,180.91
  5. Step 5: Solve for x
    x = 4,719,995,180.91/77,606.25
  6. Step 6: Final answer
    x = 60,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.