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Finding the Fourth Proportional to 31,211.70, 46,812.94 and 11,485.67

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Solution

The fourth proportional to 31,211.70, 46,812.94 and 11,485.67 is: 17,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.70 : 46,812.94 = 11,485.67 : x
  2. Step 2: Convert to fraction form
    31,211.70/46,812.94 = 11,485.67/x
  3. Step 3: Cross multiply
    31,211.70x = 46,812.94 × 11,485.67
  4. Step 4: Simplify right side
    31,211.70x = 537,677,717.79
  5. Step 5: Solve for x
    x = 537,677,717.79/31,211.70
  6. Step 6: Final answer
    x = 17,226.80

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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.