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Finding the Fourth Proportional to 111,528.64, 167,319.29 and 36,649

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Solution

The fourth proportional to 111,528.64, 167,319.29 and 36,649 is: 54,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,528.64 : 167,319.29 = 36,649 : x
  2. Step 2: Convert to fraction form
    111,528.64/167,319.29 = 36,649/x
  3. Step 3: Cross multiply
    111,528.64x = 167,319.29 × 36,649
  4. Step 4: Simplify right side
    111,528.64x = 6,132,084,659.21
  5. Step 5: Solve for x
    x = 6,132,084,659.21/111,528.64
  6. Step 6: Final answer
    x = 54,982.15

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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.