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Finding the Fourth Proportional to 30,082.25, 45,114.57 and 9,021.44

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Solution

The fourth proportional to 30,082.25, 45,114.57 and 9,021.44 is: 13,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.25 : 45,114.57 = 9,021.44 : x
  2. Step 2: Convert to fraction form
    30,082.25/45,114.57 = 9,021.44/x
  3. Step 3: Cross multiply
    30,082.25x = 45,114.57 × 9,021.44
  4. Step 4: Simplify right side
    30,082.25x = 406,998,499.17
  5. Step 5: Solve for x
    x = 406,998,499.17/30,082.25
  6. Step 6: Final answer
    x = 13,529.52

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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.