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Finding the Fourth Proportional to 30,287.80, 45,431.70 and 9,227.80

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Solution

The fourth proportional to 30,287.80, 45,431.70 and 9,227.80 is: 13,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.80 : 45,431.70 = 9,227.80 : x
  2. Step 2: Convert to fraction form
    30,287.80/45,431.70 = 9,227.80/x
  3. Step 3: Cross multiply
    30,287.80x = 45,431.70 × 9,227.80
  4. Step 4: Simplify right side
    30,287.80x = 419,234,641.26
  5. Step 5: Solve for x
    x = 419,234,641.26/30,287.80
  6. Step 6: Final answer
    x = 13,841.70

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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.