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Finding the Fourth Proportional to 30,744.36, 46,111.68 and 9,963

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Solution

The fourth proportional to 30,744.36, 46,111.68 and 9,963 is: 14,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.36 : 46,111.68 = 9,963 : x
  2. Step 2: Convert to fraction form
    30,744.36/46,111.68 = 9,963/x
  3. Step 3: Cross multiply
    30,744.36x = 46,111.68 × 9,963
  4. Step 4: Simplify right side
    30,744.36x = 459,410,667.84
  5. Step 5: Solve for x
    x = 459,410,667.84/30,744.36
  6. Step 6: Final answer
    x = 14,942.93

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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.