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Finding the Fourth Proportional to 111,380.64, 167,110.32 and 49,056.48

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Solution

The fourth proportional to 111,380.64, 167,110.32 and 49,056.48 is: 73,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,380.64 : 167,110.32 = 49,056.48 : x
  2. Step 2: Convert to fraction form
    111,380.64/167,110.32 = 49,056.48/x
  3. Step 3: Cross multiply
    111,380.64x = 167,110.32 × 49,056.48
  4. Step 4: Simplify right side
    111,380.64x = 8,197,844,070.87
  5. Step 5: Solve for x
    x = 8,197,844,070.87/111,380.64
  6. Step 6: Final answer
    x = 73,602.06

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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.