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Finding the Fourth Proportional to 73,735.72, 110,614.74 and 26,977.48

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Solution

The fourth proportional to 73,735.72, 110,614.74 and 26,977.48 is: 40,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,735.72 : 110,614.74 = 26,977.48 : x
  2. Step 2: Convert to fraction form
    73,735.72/110,614.74 = 26,977.48/x
  3. Step 3: Cross multiply
    73,735.72x = 110,614.74 × 26,977.48
  4. Step 4: Simplify right side
    73,735.72x = 2,984,106,936.06
  5. Step 5: Solve for x
    x = 2,984,106,936.06/73,735.72
  6. Step 6: Final answer
    x = 40,470.30

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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.