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Finding the Fourth Proportional to 100,578.24, 138,797.01 and 54,638.82

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Solution

The fourth proportional to 100,578.24, 138,797.01 and 54,638.82 is: 75,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.24 : 138,797.01 = 54,638.82 : x
  2. Step 2: Convert to fraction form
    100,578.24/138,797.01 = 54,638.82/x
  3. Step 3: Cross multiply
    100,578.24x = 138,797.01 × 54,638.82
  4. Step 4: Simplify right side
    100,578.24x = 7,583,704,845.93
  5. Step 5: Solve for x
    x = 7,583,704,845.93/100,578.24
  6. Step 6: Final answer
    x = 75,401.05

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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.