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Finding the Fourth Proportional to 75,091.42, 112,640.87 and 22,495.90

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Solution

The fourth proportional to 75,091.42, 112,640.87 and 22,495.90 is: 33,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091.42 : 112,640.87 = 22,495.90 : x
  2. Step 2: Convert to fraction form
    75,091.42/112,640.87 = 22,495.90/x
  3. Step 3: Cross multiply
    75,091.42x = 112,640.87 × 22,495.90
  4. Step 4: Simplify right side
    75,091.42x = 2,533,957,747.43
  5. Step 5: Solve for x
    x = 2,533,957,747.43/75,091.42
  6. Step 6: Final answer
    x = 33,744.97

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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.