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Finding the Fourth Proportional to 31,224.64, 46,836.84 and 11,234.09

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Solution

The fourth proportional to 31,224.64, 46,836.84 and 11,234.09 is: 16,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.64 : 46,836.84 = 11,234.09 : x
  2. Step 2: Convert to fraction form
    31,224.64/46,836.84 = 11,234.09/x
  3. Step 3: Cross multiply
    31,224.64x = 46,836.84 × 11,234.09
  4. Step 4: Simplify right side
    31,224.64x = 526,169,041.69
  5. Step 5: Solve for x
    x = 526,169,041.69/31,224.64
  6. Step 6: Final answer
    x = 16,851.09

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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.