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Finding the Fourth Proportional to 30,182.80, 45,267 and 9,118.48

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Solution

The fourth proportional to 30,182.80, 45,267 and 9,118.48 is: 13,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.80 : 45,267 = 9,118.48 : x
  2. Step 2: Convert to fraction form
    30,182.80/45,267 = 9,118.48/x
  3. Step 3: Cross multiply
    30,182.80x = 45,267 × 9,118.48
  4. Step 4: Simplify right side
    30,182.80x = 412,766,234.16
  5. Step 5: Solve for x
    x = 412,766,234.16/30,182.80
  6. Step 6: Final answer
    x = 13,675.54

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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.