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Finding the Fourth Proportional to 111,168, 166,752 and 32,276.16

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Solution

The fourth proportional to 111,168, 166,752 and 32,276.16 is: 48,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168 : 166,752 = 32,276.16 : x
  2. Step 2: Convert to fraction form
    111,168/166,752 = 32,276.16/x
  3. Step 3: Cross multiply
    111,168x = 166,752 × 32,276.16
  4. Step 4: Simplify right side
    111,168x = 5,382,114,232.32
  5. Step 5: Solve for x
    x = 5,382,114,232.32/111,168
  6. Step 6: Final answer
    x = 48,414.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.