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Finding the Fourth Proportional to 111,369.24, 167,020.92 and 32,458.77

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Solution

The fourth proportional to 111,369.24, 167,020.92 and 32,458.77 is: 48,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,369.24 : 167,020.92 = 32,458.77 : x
  2. Step 2: Convert to fraction form
    111,369.24/167,020.92 = 32,458.77/x
  3. Step 3: Cross multiply
    111,369.24x = 167,020.92 × 32,458.77
  4. Step 4: Simplify right side
    111,369.24x = 5,421,293,627.47
  5. Step 5: Solve for x
    x = 5,421,293,627.47/111,369.24
  6. Step 6: Final answer
    x = 48,678.55

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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.