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Finding the Fourth Proportional to 75,881.48, 113,822.10 and 22,573.22

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Solution

The fourth proportional to 75,881.48, 113,822.10 and 22,573.22 is: 33,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.48 : 113,822.10 = 22,573.22 : x
  2. Step 2: Convert to fraction form
    75,881.48/113,822.10 = 22,573.22/x
  3. Step 3: Cross multiply
    75,881.48x = 113,822.10 × 22,573.22
  4. Step 4: Simplify right side
    75,881.48x = 2,569,330,735.05
  5. Step 5: Solve for x
    x = 2,569,330,735.05/75,881.48
  6. Step 6: Final answer
    x = 33,859.79

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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.