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Finding the Fourth Proportional to 111,614.42, 167,445.86 and 36,742.16

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Solution

The fourth proportional to 111,614.42, 167,445.86 and 36,742.16 is: 55,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,614.42 : 167,445.86 = 36,742.16 : x
  2. Step 2: Convert to fraction form
    111,614.42/167,445.86 = 36,742.16/x
  3. Step 3: Cross multiply
    111,614.42x = 167,445.86 × 36,742.16
  4. Step 4: Simplify right side
    111,614.42x = 6,152,322,579.46
  5. Step 5: Solve for x
    x = 6,152,322,579.46/111,614.42
  6. Step 6: Final answer
    x = 55,121.22

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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.