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Finding the Fourth Proportional to 33,698, 46,520.52 and 21,135.44

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Solution

The fourth proportional to 33,698, 46,520.52 and 21,135.44 is: 29,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698 : 46,520.52 = 21,135.44 : x
  2. Step 2: Convert to fraction form
    33,698/46,520.52 = 21,135.44/x
  3. Step 3: Cross multiply
    33,698x = 46,520.52 × 21,135.44
  4. Step 4: Simplify right side
    33,698x = 983,231,659.23
  5. Step 5: Solve for x
    x = 983,231,659.23/33,698
  6. Step 6: Final answer
    x = 29,177.75

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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.