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Finding the Fourth Proportional to 30,912.49, 46,363.34 and 14,271.09

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Solution

The fourth proportional to 30,912.49, 46,363.34 and 14,271.09 is: 21,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.49 : 46,363.34 = 14,271.09 : x
  2. Step 2: Convert to fraction form
    30,912.49/46,363.34 = 14,271.09/x
  3. Step 3: Cross multiply
    30,912.49x = 46,363.34 × 14,271.09
  4. Step 4: Simplify right side
    30,912.49x = 661,655,179.38
  5. Step 5: Solve for x
    x = 661,655,179.38/30,912.49
  6. Step 6: Final answer
    x = 21,404.14

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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.