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Finding the Fourth Proportional to 33,861.90, 46,729.78 and 20,430.56

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Solution

The fourth proportional to 33,861.90, 46,729.78 and 20,430.56 is: 28,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,861.90 : 46,729.78 = 20,430.56 : x
  2. Step 2: Convert to fraction form
    33,861.90/46,729.78 = 20,430.56/x
  3. Step 3: Cross multiply
    33,861.90x = 46,729.78 × 20,430.56
  4. Step 4: Simplify right side
    33,861.90x = 954,715,639.82
  5. Step 5: Solve for x
    x = 954,715,639.82/33,861.90
  6. Step 6: Final answer
    x = 28,194.39

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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.