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Finding the Fourth Proportional to 73,238.76, 109,829.72 and 25,198.24

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Solution

The fourth proportional to 73,238.76, 109,829.72 and 25,198.24 is: 37,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,238.76 : 109,829.72 = 25,198.24 : x
  2. Step 2: Convert to fraction form
    73,238.76/109,829.72 = 25,198.24/x
  3. Step 3: Cross multiply
    73,238.76x = 109,829.72 × 25,198.24
  4. Step 4: Simplify right side
    73,238.76x = 2,767,515,643.69
  5. Step 5: Solve for x
    x = 2,767,515,643.69/73,238.76
  6. Step 6: Final answer
    x = 37,787.58

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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.