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Finding the Fourth Proportional to 32,880, 45,375.12 and 17,976

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Solution

The fourth proportional to 32,880, 45,375.12 and 17,976 is: 24,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880 : 45,375.12 = 17,976 : x
  2. Step 2: Convert to fraction form
    32,880/45,375.12 = 17,976/x
  3. Step 3: Cross multiply
    32,880x = 45,375.12 × 17,976
  4. Step 4: Simplify right side
    32,880x = 815,663,157.12
  5. Step 5: Solve for x
    x = 815,663,157.12/32,880
  6. Step 6: Final answer
    x = 24,807.27

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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.