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Finding the Fourth Proportional to 30,912.16, 46,371.64 and 9,847.30

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Solution

The fourth proportional to 30,912.16, 46,371.64 and 9,847.30 is: 14,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.16 : 46,371.64 = 9,847.30 : x
  2. Step 2: Convert to fraction form
    30,912.16/46,371.64 = 9,847.30/x
  3. Step 3: Cross multiply
    30,912.16x = 46,371.64 × 9,847.30
  4. Step 4: Simplify right side
    30,912.16x = 456,635,218.71
  5. Step 5: Solve for x
    x = 456,635,218.71/30,912.16
  6. Step 6: Final answer
    x = 14,772.03

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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.