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Finding the Fourth Proportional to 75,486.53, 113,222.47 and 22,896.47

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Solution

The fourth proportional to 75,486.53, 113,222.47 and 22,896.47 is: 34,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.53 : 113,222.47 = 22,896.47 : x
  2. Step 2: Convert to fraction form
    75,486.53/113,222.47 = 22,896.47/x
  3. Step 3: Cross multiply
    75,486.53x = 113,222.47 × 22,896.47
  4. Step 4: Simplify right side
    75,486.53x = 2,592,394,887.68
  5. Step 5: Solve for x
    x = 2,592,394,887.68/75,486.53
  6. Step 6: Final answer
    x = 34,342.48

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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.