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Finding the Fourth Proportional to 75,472, 113,224.36 and 22,885.44

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Solution

The fourth proportional to 75,472, 113,224.36 and 22,885.44 is: 34,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472 : 113,224.36 = 22,885.44 : x
  2. Step 2: Convert to fraction form
    75,472/113,224.36 = 22,885.44/x
  3. Step 3: Cross multiply
    75,472x = 113,224.36 × 22,885.44
  4. Step 4: Simplify right side
    75,472x = 2,591,189,297.32
  5. Step 5: Solve for x
    x = 2,591,189,297.32/75,472
  6. Step 6: Final answer
    x = 34,333.12

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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.