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Finding the Fourth Proportional to 30,137.82, 45,206.37 and 14,544.42

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Solution

The fourth proportional to 30,137.82, 45,206.37 and 14,544.42 is: 21,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.82 : 45,206.37 = 14,544.42 : x
  2. Step 2: Convert to fraction form
    30,137.82/45,206.37 = 14,544.42/x
  3. Step 3: Cross multiply
    30,137.82x = 45,206.37 × 14,544.42
  4. Step 4: Simplify right side
    30,137.82x = 657,500,431.96
  5. Step 5: Solve for x
    x = 657,500,431.96/30,137.82
  6. Step 6: Final answer
    x = 21,816.46

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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.