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Finding the Fourth Proportional to 33,978, 46,888.90 and 18,869.82

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Solution

The fourth proportional to 33,978, 46,888.90 and 18,869.82 is: 26,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978 : 46,888.90 = 18,869.82 : x
  2. Step 2: Convert to fraction form
    33,978/46,888.90 = 18,869.82/x
  3. Step 3: Cross multiply
    33,978x = 46,888.90 × 18,869.82
  4. Step 4: Simplify right side
    33,978x = 884,785,103.00
  5. Step 5: Solve for x
    x = 884,785,103.00/33,978
  6. Step 6: Final answer
    x = 26,039.94

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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.