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Finding the Fourth Proportional to 75,872.88, 113,809.24 and 22,564.64

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Solution

The fourth proportional to 75,872.88, 113,809.24 and 22,564.64 is: 33,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872.88 : 113,809.24 = 22,564.64 : x
  2. Step 2: Convert to fraction form
    75,872.88/113,809.24 = 22,564.64/x
  3. Step 3: Cross multiply
    75,872.88x = 113,809.24 × 22,564.64
  4. Step 4: Simplify right side
    75,872.88x = 2,568,064,330.14
  5. Step 5: Solve for x
    x = 2,568,064,330.14/75,872.88
  6. Step 6: Final answer
    x = 33,846.93

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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.