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Finding the Fourth Proportional to 30,930.38, 46,395.44 and 11,204.31

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Solution

The fourth proportional to 30,930.38, 46,395.44 and 11,204.31 is: 16,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.38 : 46,395.44 = 11,204.31 : x
  2. Step 2: Convert to fraction form
    30,930.38/46,395.44 = 11,204.31/x
  3. Step 3: Cross multiply
    30,930.38x = 46,395.44 × 11,204.31
  4. Step 4: Simplify right side
    30,930.38x = 519,828,892.35
  5. Step 5: Solve for x
    x = 519,828,892.35/30,930.38
  6. Step 6: Final answer
    x = 16,806.42

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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.