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Finding the Fourth Proportional to 35,735.68, 49,318.26 and 19,825.26

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Solution

The fourth proportional to 35,735.68, 49,318.26 and 19,825.26 is: 27,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.68 : 49,318.26 = 19,825.26 : x
  2. Step 2: Convert to fraction form
    35,735.68/49,318.26 = 19,825.26/x
  3. Step 3: Cross multiply
    35,735.68x = 49,318.26 × 19,825.26
  4. Step 4: Simplify right side
    35,735.68x = 977,747,327.25
  5. Step 5: Solve for x
    x = 977,747,327.25/35,735.68
  6. Step 6: Final answer
    x = 27,360.54

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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.