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Finding the Fourth Proportional to 110,096.27, 165,144.40 and 31,211.18

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Solution

The fourth proportional to 110,096.27, 165,144.40 and 31,211.18 is: 46,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,096.27 : 165,144.40 = 31,211.18 : x
  2. Step 2: Convert to fraction form
    110,096.27/165,144.40 = 31,211.18/x
  3. Step 3: Cross multiply
    110,096.27x = 165,144.40 × 31,211.18
  4. Step 4: Simplify right side
    110,096.27x = 5,154,351,485.50
  5. Step 5: Solve for x
    x = 5,154,351,485.50/110,096.27
  6. Step 6: Final answer
    x = 46,816.77

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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.