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Finding the Fourth Proportional to 111,832.42, 167,743.16 and 41,706.27

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Solution

The fourth proportional to 111,832.42, 167,743.16 and 41,706.27 is: 62,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,832.42 : 167,743.16 = 41,706.27 : x
  2. Step 2: Convert to fraction form
    111,832.42/167,743.16 = 41,706.27/x
  3. Step 3: Cross multiply
    111,832.42x = 167,743.16 × 41,706.27
  4. Step 4: Simplify right side
    111,832.42x = 6,995,941,206.52
  5. Step 5: Solve for x
    x = 6,995,941,206.52/111,832.42
  6. Step 6: Final answer
    x = 62,557.36

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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.