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Finding the Fourth Proportional to 35,734.96, 49,313.92 and 19,819.44

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Solution

The fourth proportional to 35,734.96, 49,313.92 and 19,819.44 is: 27,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.96 : 49,313.92 = 19,819.44 : x
  2. Step 2: Convert to fraction form
    35,734.96/49,313.92 = 19,819.44/x
  3. Step 3: Cross multiply
    35,734.96x = 49,313.92 × 19,819.44
  4. Step 4: Simplify right side
    35,734.96x = 977,374,278.60
  5. Step 5: Solve for x
    x = 977,374,278.60/35,734.96
  6. Step 6: Final answer
    x = 27,350.65

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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.