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Finding the Fourth Proportional to 35,736.90, 49,311.64 and 19,821.48

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Solution

The fourth proportional to 35,736.90, 49,311.64 and 19,821.48 is: 27,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.90 : 49,311.64 = 19,821.48 : x
  2. Step 2: Convert to fraction form
    35,736.90/49,311.64 = 19,821.48/x
  3. Step 3: Cross multiply
    35,736.90x = 49,311.64 × 19,821.48
  4. Step 4: Simplify right side
    35,736.90x = 977,429,686.03
  5. Step 5: Solve for x
    x = 977,429,686.03/35,736.90
  6. Step 6: Final answer
    x = 27,350.71

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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.