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Finding the Fourth Proportional to 29,947.85, 41,323.59 and 17,201.59

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Solution

The fourth proportional to 29,947.85, 41,323.59 and 17,201.59 is: 23,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.85 : 41,323.59 = 17,201.59 : x
  2. Step 2: Convert to fraction form
    29,947.85/41,323.59 = 17,201.59/x
  3. Step 3: Cross multiply
    29,947.85x = 41,323.59 × 17,201.59
  4. Step 4: Simplify right side
    29,947.85x = 710,831,513.80
  5. Step 5: Solve for x
    x = 710,831,513.80/29,947.85
  6. Step 6: Final answer
    x = 23,735.64

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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.