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Finding the Fourth Proportional to 33,819.48, 46,648.74 and 20,381.64

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Solution

The fourth proportional to 33,819.48, 46,648.74 and 20,381.64 is: 28,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,819.48 : 46,648.74 = 20,381.64 : x
  2. Step 2: Convert to fraction form
    33,819.48/46,648.74 = 20,381.64/x
  3. Step 3: Cross multiply
    33,819.48x = 46,648.74 × 20,381.64
  4. Step 4: Simplify right side
    33,819.48x = 950,777,825.13
  5. Step 5: Solve for x
    x = 950,777,825.13/33,819.48
  6. Step 6: Final answer
    x = 28,113.32

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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.