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Finding the Fourth Proportional to 43,780, 60,414.34 and 24,659.94

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Solution

The fourth proportional to 43,780, 60,414.34 and 24,659.94 is: 34,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 60,414.34 = 24,659.94 : x
  2. Step 2: Convert to fraction form
    43,780/60,414.34 = 24,659.94/x
  3. Step 3: Cross multiply
    43,780x = 60,414.34 × 24,659.94
  4. Step 4: Simplify right side
    43,780x = 1,489,813,999.54
  5. Step 5: Solve for x
    x = 1,489,813,999.54/43,780
  6. Step 6: Final answer
    x = 34,029.56

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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.