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Finding the Fourth Proportional to 35,829, 49,444.09 and 19,917.23

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Solution

The fourth proportional to 35,829, 49,444.09 and 19,917.23 is: 27,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 49,444.09 = 19,917.23 : x
  2. Step 2: Convert to fraction form
    35,829/49,444.09 = 19,917.23/x
  3. Step 3: Cross multiply
    35,829x = 49,444.09 × 19,917.23
  4. Step 4: Simplify right side
    35,829x = 984,789,015.66
  5. Step 5: Solve for x
    x = 984,789,015.66/35,829
  6. Step 6: Final answer
    x = 27,485.81

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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.