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Finding the Fourth Proportional to 33,337.24, 46,006.82 and 18,229

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Solution

The fourth proportional to 33,337.24, 46,006.82 and 18,229 is: 25,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337.24 : 46,006.82 = 18,229 : x
  2. Step 2: Convert to fraction form
    33,337.24/46,006.82 = 18,229/x
  3. Step 3: Cross multiply
    33,337.24x = 46,006.82 × 18,229
  4. Step 4: Simplify right side
    33,337.24x = 838,658,321.78
  5. Step 5: Solve for x
    x = 838,658,321.78/33,337.24
  6. Step 6: Final answer
    x = 25,156.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.