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Finding the Fourth Proportional to 31,224.24, 46,836.40 and 7,850.68

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Solution

The fourth proportional to 31,224.24, 46,836.40 and 7,850.68 is: 11,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.24 : 46,836.40 = 7,850.68 : x
  2. Step 2: Convert to fraction form
    31,224.24/46,836.40 = 7,850.68/x
  3. Step 3: Cross multiply
    31,224.24x = 46,836.40 × 7,850.68
  4. Step 4: Simplify right side
    31,224.24x = 367,697,588.75
  5. Step 5: Solve for x
    x = 367,697,588.75/31,224.24
  6. Step 6: Final answer
    x = 11,776.03

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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.