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Finding the Fourth Proportional to 32,984, 45,517.92 and 18,079.68

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Solution

The fourth proportional to 32,984, 45,517.92 and 18,079.68 is: 24,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 45,517.92 = 18,079.68 : x
  2. Step 2: Convert to fraction form
    32,984/45,517.92 = 18,079.68/x
  3. Step 3: Cross multiply
    32,984x = 45,517.92 × 18,079.68
  4. Step 4: Simplify right side
    32,984x = 822,949,427.87
  5. Step 5: Solve for x
    x = 822,949,427.87/32,984
  6. Step 6: Final answer
    x = 24,949.96

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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.