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Finding the Fourth Proportional to 33,447.86, 46,162.71 and 20,705.09

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Solution

The fourth proportional to 33,447.86, 46,162.71 and 20,705.09 is: 28,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447.86 : 46,162.71 = 20,705.09 : x
  2. Step 2: Convert to fraction form
    33,447.86/46,162.71 = 20,705.09/x
  3. Step 3: Cross multiply
    33,447.86x = 46,162.71 × 20,705.09
  4. Step 4: Simplify right side
    33,447.86x = 955,802,834.38
  5. Step 5: Solve for x
    x = 955,802,834.38/33,447.86
  6. Step 6: Final answer
    x = 28,575.91

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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.