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Finding the Fourth Proportional to 30,844.56, 46,274.16 and 10,068

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Solution

The fourth proportional to 30,844.56, 46,274.16 and 10,068 is: 15,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.56 : 46,274.16 = 10,068 : x
  2. Step 2: Convert to fraction form
    30,844.56/46,274.16 = 10,068/x
  3. Step 3: Cross multiply
    30,844.56x = 46,274.16 × 10,068
  4. Step 4: Simplify right side
    30,844.56x = 465,888,242.88
  5. Step 5: Solve for x
    x = 465,888,242.88/30,844.56
  6. Step 6: Final answer
    x = 15,104.39

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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.