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Finding the Fourth Proportional to 31,221.99, 46,832.88 and 11,231.45

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Solution

The fourth proportional to 31,221.99, 46,832.88 and 11,231.45 is: 16,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.99 : 46,832.88 = 11,231.45 : x
  2. Step 2: Convert to fraction form
    31,221.99/46,832.88 = 11,231.45/x
  3. Step 3: Cross multiply
    31,221.99x = 46,832.88 × 11,231.45
  4. Step 4: Simplify right side
    31,221.99x = 526,001,150.08
  5. Step 5: Solve for x
    x = 526,001,150.08/31,221.99
  6. Step 6: Final answer
    x = 16,847.14

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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.