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Finding the Fourth Proportional to 111,844.16, 167,795.28 and 41,724

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Solution

The fourth proportional to 111,844.16, 167,795.28 and 41,724 is: 62,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,844.16 : 167,795.28 = 41,724 : x
  2. Step 2: Convert to fraction form
    111,844.16/167,795.28 = 41,724/x
  3. Step 3: Cross multiply
    111,844.16x = 167,795.28 × 41,724
  4. Step 4: Simplify right side
    111,844.16x = 7,001,090,262.72
  5. Step 5: Solve for x
    x = 7,001,090,262.72/111,844.16
  6. Step 6: Final answer
    x = 62,596.83

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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.