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Finding the Fourth Proportional to 37,947.87, 52,410.35 and 29,551

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Solution

The fourth proportional to 37,947.87, 52,410.35 and 29,551 is: 40,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,947.87 : 52,410.35 = 29,551 : x
  2. Step 2: Convert to fraction form
    37,947.87/52,410.35 = 29,551/x
  3. Step 3: Cross multiply
    37,947.87x = 52,410.35 × 29,551
  4. Step 4: Simplify right side
    37,947.87x = 1,548,778,105.10
  5. Step 5: Solve for x
    x = 1,548,778,105.10/37,947.87
  6. Step 6: Final answer
    x = 40,813.31

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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.