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Finding the Fourth Proportional to 33,494.76, 46,225.10 and 22,144.52

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Solution

The fourth proportional to 33,494.76, 46,225.10 and 22,144.52 is: 30,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.76 : 46,225.10 = 22,144.52 : x
  2. Step 2: Convert to fraction form
    33,494.76/46,225.10 = 22,144.52/x
  3. Step 3: Cross multiply
    33,494.76x = 46,225.10 × 22,144.52
  4. Step 4: Simplify right side
    33,494.76x = 1,023,632,822.38
  5. Step 5: Solve for x
    x = 1,023,632,822.38/33,494.76
  6. Step 6: Final answer
    x = 30,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.