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Finding the Fourth Proportional to 35,736.96, 49,316.68 and 19,821.44

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Solution

The fourth proportional to 35,736.96, 49,316.68 and 19,821.44 is: 27,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.96 : 49,316.68 = 19,821.44 : x
  2. Step 2: Convert to fraction form
    35,736.96/49,316.68 = 19,821.44/x
  3. Step 3: Cross multiply
    35,736.96x = 49,316.68 × 19,821.44
  4. Step 4: Simplify right side
    35,736.96x = 977,527,613.62
  5. Step 5: Solve for x
    x = 977,527,613.62/35,736.96
  6. Step 6: Final answer
    x = 27,353.41

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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.