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Finding the Fourth Proportional to 33,957, 46,858.50 and 18,849.96

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Solution

The fourth proportional to 33,957, 46,858.50 and 18,849.96 is: 26,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957 : 46,858.50 = 18,849.96 : x
  2. Step 2: Convert to fraction form
    33,957/46,858.50 = 18,849.96/x
  3. Step 3: Cross multiply
    33,957x = 46,858.50 × 18,849.96
  4. Step 4: Simplify right side
    33,957x = 883,280,850.66
  5. Step 5: Solve for x
    x = 883,280,850.66/33,957
  6. Step 6: Final answer
    x = 26,011.75

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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.