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Finding the Fourth Proportional to 111,339.76, 167,026.92 and 37,462

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Solution

The fourth proportional to 111,339.76, 167,026.92 and 37,462 is: 56,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,339.76 : 167,026.92 = 37,462 : x
  2. Step 2: Convert to fraction form
    111,339.76/167,026.92 = 37,462/x
  3. Step 3: Cross multiply
    111,339.76x = 167,026.92 × 37,462
  4. Step 4: Simplify right side
    111,339.76x = 6,257,162,477.04
  5. Step 5: Solve for x
    x = 6,257,162,477.04/111,339.76
  6. Step 6: Final answer
    x = 56,198.81

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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.