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Finding the Fourth Proportional to 31,329.69, 46,993.76 and 9,143.27

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Solution

The fourth proportional to 31,329.69, 46,993.76 and 9,143.27 is: 13,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.69 : 46,993.76 = 9,143.27 : x
  2. Step 2: Convert to fraction form
    31,329.69/46,993.76 = 9,143.27/x
  3. Step 3: Cross multiply
    31,329.69x = 46,993.76 × 9,143.27
  4. Step 4: Simplify right side
    31,329.69x = 429,676,355.31
  5. Step 5: Solve for x
    x = 429,676,355.31/31,329.69
  6. Step 6: Final answer
    x = 13,714.67

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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.