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Finding the Fourth Proportional to 30,728.14, 46,099.50 and 9,951.64

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Solution

The fourth proportional to 30,728.14, 46,099.50 and 9,951.64 is: 14,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.14 : 46,099.50 = 9,951.64 : x
  2. Step 2: Convert to fraction form
    30,728.14/46,099.50 = 9,951.64/x
  3. Step 3: Cross multiply
    30,728.14x = 46,099.50 × 9,951.64
  4. Step 4: Simplify right side
    30,728.14x = 458,765,628.18
  5. Step 5: Solve for x
    x = 458,765,628.18/30,728.14
  6. Step 6: Final answer
    x = 14,929.82

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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.