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Finding the Fourth Proportional to 33,672.70, 46,459.33 and 21,743.02

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Solution

The fourth proportional to 33,672.70, 46,459.33 and 21,743.02 is: 29,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.70 : 46,459.33 = 21,743.02 : x
  2. Step 2: Convert to fraction form
    33,672.70/46,459.33 = 21,743.02/x
  3. Step 3: Cross multiply
    33,672.70x = 46,459.33 × 21,743.02
  4. Step 4: Simplify right side
    33,672.70x = 1,010,166,141.38
  5. Step 5: Solve for x
    x = 1,010,166,141.38/33,672.70
  6. Step 6: Final answer
    x = 29,999.56

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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.