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Finding the Fourth Proportional to 110,949, 166,423.52 and 37,077

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Solution

The fourth proportional to 110,949, 166,423.52 and 37,077 is: 55,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,949 : 166,423.52 = 37,077 : x
  2. Step 2: Convert to fraction form
    110,949/166,423.52 = 37,077/x
  3. Step 3: Cross multiply
    110,949x = 166,423.52 × 37,077
  4. Step 4: Simplify right side
    110,949x = 6,170,484,851.04
  5. Step 5: Solve for x
    x = 6,170,484,851.04/110,949
  6. Step 6: Final answer
    x = 55,615.51

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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.