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Finding the Fourth Proportional to 35,974.68, 49,631 and 23,224.46

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Solution

The fourth proportional to 35,974.68, 49,631 and 23,224.46 is: 32,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974.68 : 49,631 = 23,224.46 : x
  2. Step 2: Convert to fraction form
    35,974.68/49,631 = 23,224.46/x
  3. Step 3: Cross multiply
    35,974.68x = 49,631 × 23,224.46
  4. Step 4: Simplify right side
    35,974.68x = 1,152,653,174.26
  5. Step 5: Solve for x
    x = 1,152,653,174.26/35,974.68
  6. Step 6: Final answer
    x = 32,040.68

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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.