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Finding the Fourth Proportional to 33,806.86, 46,657.38 and 20,384.98

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Solution

The fourth proportional to 33,806.86, 46,657.38 and 20,384.98 is: 28,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,806.86 : 46,657.38 = 20,384.98 : x
  2. Step 2: Convert to fraction form
    33,806.86/46,657.38 = 20,384.98/x
  3. Step 3: Cross multiply
    33,806.86x = 46,657.38 × 20,384.98
  4. Step 4: Simplify right side
    33,806.86x = 951,109,758.15
  5. Step 5: Solve for x
    x = 951,109,758.15/33,806.86
  6. Step 6: Final answer
    x = 28,133.63

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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.