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Finding the Fourth Proportional to 20,049.82, 30,085.10 and 14,548.52

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Solution

The fourth proportional to 20,049.82, 30,085.10 and 14,548.52 is: 21,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.82 : 30,085.10 = 14,548.52 : x
  2. Step 2: Convert to fraction form
    20,049.82/30,085.10 = 14,548.52/x
  3. Step 3: Cross multiply
    20,049.82x = 30,085.10 × 14,548.52
  4. Step 4: Simplify right side
    20,049.82x = 437,693,679.05
  5. Step 5: Solve for x
    x = 437,693,679.05/20,049.82
  6. Step 6: Final answer
    x = 21,830.30

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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.