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Finding the Fourth Proportional to 30,940.90, 46,428.36 and 13,410.88

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Solution

The fourth proportional to 30,940.90, 46,428.36 and 13,410.88 is: 20,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.90 : 46,428.36 = 13,410.88 : x
  2. Step 2: Convert to fraction form
    30,940.90/46,428.36 = 13,410.88/x
  3. Step 3: Cross multiply
    30,940.90x = 46,428.36 × 13,410.88
  4. Step 4: Simplify right side
    30,940.90x = 622,645,164.56
  5. Step 5: Solve for x
    x = 622,645,164.56/30,940.90
  6. Step 6: Final answer
    x = 20,123.69

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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.