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Finding the Fourth Proportional to 35,676.50, 49,229.60 and 19,756.96

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Solution

The fourth proportional to 35,676.50, 49,229.60 and 19,756.96 is: 27,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.50 : 49,229.60 = 19,756.96 : x
  2. Step 2: Convert to fraction form
    35,676.50/49,229.60 = 19,756.96/x
  3. Step 3: Cross multiply
    35,676.50x = 49,229.60 × 19,756.96
  4. Step 4: Simplify right side
    35,676.50x = 972,627,348.64
  5. Step 5: Solve for x
    x = 972,627,348.64/35,676.50
  6. Step 6: Final answer
    x = 27,262.41

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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.