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Finding the Fourth Proportional to 110,926.30, 166,405.65 and 36,033.70

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Solution

The fourth proportional to 110,926.30, 166,405.65 and 36,033.70 is: 54,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926.30 : 166,405.65 = 36,033.70 : x
  2. Step 2: Convert to fraction form
    110,926.30/166,405.65 = 36,033.70/x
  3. Step 3: Cross multiply
    110,926.30x = 166,405.65 × 36,033.70
  4. Step 4: Simplify right side
    110,926.30x = 5,996,211,270.41
  5. Step 5: Solve for x
    x = 5,996,211,270.41/110,926.30
  6. Step 6: Final answer
    x = 54,055.81

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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.