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Finding the Fourth Proportional to 33,947.28, 46,846.80 and 18,840

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Solution

The fourth proportional to 33,947.28, 46,846.80 and 18,840 is: 25,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.28 : 46,846.80 = 18,840 : x
  2. Step 2: Convert to fraction form
    33,947.28/46,846.80 = 18,840/x
  3. Step 3: Cross multiply
    33,947.28x = 46,846.80 × 18,840
  4. Step 4: Simplify right side
    33,947.28x = 882,593,712
  5. Step 5: Solve for x
    x = 882,593,712/33,947.28
  6. Step 6: Final answer
    x = 25,998.95

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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.