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Finding the Fourth Proportional to 54,997.76, 82,452.96 and 23,811.20

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Solution

The fourth proportional to 54,997.76, 82,452.96 and 23,811.20 is: 35,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.76 : 82,452.96 = 23,811.20 : x
  2. Step 2: Convert to fraction form
    54,997.76/82,452.96 = 23,811.20/x
  3. Step 3: Cross multiply
    54,997.76x = 82,452.96 × 23,811.20
  4. Step 4: Simplify right side
    54,997.76x = 1,963,303,921.15
  5. Step 5: Solve for x
    x = 1,963,303,921.15/54,997.76
  6. Step 6: Final answer
    x = 35,697.89

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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.