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Finding the Fourth Proportional to 111,662.64, 167,399.75 and 48,435.16

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Solution

The fourth proportional to 111,662.64, 167,399.75 and 48,435.16 is: 72,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,662.64 : 167,399.75 = 48,435.16 : x
  2. Step 2: Convert to fraction form
    111,662.64/167,399.75 = 48,435.16/x
  3. Step 3: Cross multiply
    111,662.64x = 167,399.75 × 48,435.16
  4. Step 4: Simplify right side
    111,662.64x = 8,108,032,838.21
  5. Step 5: Solve for x
    x = 8,108,032,838.21/111,662.64
  6. Step 6: Final answer
    x = 72,611.87

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Why These Related Problems?

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