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Finding the Fourth Proportional to 35,738.96, 49,321.86 and 19,825.16

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Solution

The fourth proportional to 35,738.96, 49,321.86 and 19,825.16 is: 27,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.96 : 49,321.86 = 19,825.16 : x
  2. Step 2: Convert to fraction form
    35,738.96/49,321.86 = 19,825.16/x
  3. Step 3: Cross multiply
    35,738.96x = 49,321.86 × 19,825.16
  4. Step 4: Simplify right side
    35,738.96x = 977,813,766.00
  5. Step 5: Solve for x
    x = 977,813,766.00/35,738.96
  6. Step 6: Final answer
    x = 27,359.88

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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.