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Finding the Fourth Proportional to 106,162.59, 159,245.10 and 36,047.37

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Solution

The fourth proportional to 106,162.59, 159,245.10 and 36,047.37 is: 54,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.59 : 159,245.10 = 36,047.37 : x
  2. Step 2: Convert to fraction form
    106,162.59/159,245.10 = 36,047.37/x
  3. Step 3: Cross multiply
    106,162.59x = 159,245.10 × 36,047.37
  4. Step 4: Simplify right side
    106,162.59x = 5,740,367,040.39
  5. Step 5: Solve for x
    x = 5,740,367,040.39/106,162.59
  6. Step 6: Final answer
    x = 54,071.47

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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.