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Finding the Fourth Proportional to 31,048.72, 46,571.76 and 7,674.56

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Solution

The fourth proportional to 31,048.72, 46,571.76 and 7,674.56 is: 11,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.72 : 46,571.76 = 7,674.56 : x
  2. Step 2: Convert to fraction form
    31,048.72/46,571.76 = 7,674.56/x
  3. Step 3: Cross multiply
    31,048.72x = 46,571.76 × 7,674.56
  4. Step 4: Simplify right side
    31,048.72x = 357,417,766.43
  5. Step 5: Solve for x
    x = 357,417,766.43/31,048.72
  6. Step 6: Final answer
    x = 11,511.51

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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.