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Finding the Fourth Proportional to 30,911.45, 46,370.81 and 9,844.12

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Solution

The fourth proportional to 30,911.45, 46,370.81 and 9,844.12 is: 14,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.45 : 46,370.81 = 9,844.12 : x
  2. Step 2: Convert to fraction form
    30,911.45/46,370.81 = 9,844.12/x
  3. Step 3: Cross multiply
    30,911.45x = 46,370.81 × 9,844.12
  4. Step 4: Simplify right side
    30,911.45x = 456,479,537.06
  5. Step 5: Solve for x
    x = 456,479,537.06/30,911.45
  6. Step 6: Final answer
    x = 14,767.33

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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.