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Finding the Fourth Proportional to 30,202.44, 45,310.23 and 9,142.08

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Solution

The fourth proportional to 30,202.44, 45,310.23 and 9,142.08 is: 13,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.44 : 45,310.23 = 9,142.08 : x
  2. Step 2: Convert to fraction form
    30,202.44/45,310.23 = 9,142.08/x
  3. Step 3: Cross multiply
    30,202.44x = 45,310.23 × 9,142.08
  4. Step 4: Simplify right side
    30,202.44x = 414,229,747.48
  5. Step 5: Solve for x
    x = 414,229,747.48/30,202.44
  6. Step 6: Final answer
    x = 13,715.11

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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.