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Finding the Fourth Proportional to 30,728.96, 46,093.98 and 9,668.56

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Solution

The fourth proportional to 30,728.96, 46,093.98 and 9,668.56 is: 14,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.96 : 46,093.98 = 9,668.56 : x
  2. Step 2: Convert to fraction form
    30,728.96/46,093.98 = 9,668.56/x
  3. Step 3: Cross multiply
    30,728.96x = 46,093.98 × 9,668.56
  4. Step 4: Simplify right side
    30,728.96x = 445,662,411.27
  5. Step 5: Solve for x
    x = 445,662,411.27/30,728.96
  6. Step 6: Final answer
    x = 14,503.01

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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.