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Finding the Fourth Proportional to 111,811.01, 167,682.36 and 31,855.50

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Solution

The fourth proportional to 111,811.01, 167,682.36 and 31,855.50 is: 47,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,811.01 : 167,682.36 = 31,855.50 : x
  2. Step 2: Convert to fraction form
    111,811.01/167,682.36 = 31,855.50/x
  3. Step 3: Cross multiply
    111,811.01x = 167,682.36 × 31,855.50
  4. Step 4: Simplify right side
    111,811.01x = 5,341,605,418.98
  5. Step 5: Solve for x
    x = 5,341,605,418.98/111,811.01
  6. Step 6: Final answer
    x = 47,773.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.