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Finding the Fourth Proportional to 30,199.49, 45,297.79 and 10,207.65

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Solution

The fourth proportional to 30,199.49, 45,297.79 and 10,207.65 is: 15,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.49 : 45,297.79 = 10,207.65 : x
  2. Step 2: Convert to fraction form
    30,199.49/45,297.79 = 10,207.65/x
  3. Step 3: Cross multiply
    30,199.49x = 45,297.79 × 10,207.65
  4. Step 4: Simplify right side
    30,199.49x = 462,383,986.09
  5. Step 5: Solve for x
    x = 462,383,986.09/30,199.49
  6. Step 6: Final answer
    x = 15,310.99

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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.