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Finding the Fourth Proportional to 30,205.80, 45,290.76 and 9,139.44

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Solution

The fourth proportional to 30,205.80, 45,290.76 and 9,139.44 is: 13,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.80 : 45,290.76 = 9,139.44 : x
  2. Step 2: Convert to fraction form
    30,205.80/45,290.76 = 9,139.44/x
  3. Step 3: Cross multiply
    30,205.80x = 45,290.76 × 9,139.44
  4. Step 4: Simplify right side
    30,205.80x = 413,932,183.57
  5. Step 5: Solve for x
    x = 413,932,183.57/30,205.80
  6. Step 6: Final answer
    x = 13,703.73

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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.