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Finding the Fourth Proportional to 32,847, 45,328.86 and 17,943

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Solution

The fourth proportional to 32,847, 45,328.86 and 17,943 is: 24,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847 : 45,328.86 = 17,943 : x
  2. Step 2: Convert to fraction form
    32,847/45,328.86 = 17,943/x
  3. Step 3: Cross multiply
    32,847x = 45,328.86 × 17,943
  4. Step 4: Simplify right side
    32,847x = 813,335,734.98
  5. Step 5: Solve for x
    x = 813,335,734.98/32,847
  6. Step 6: Final answer
    x = 24,761.34

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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.