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Finding the Fourth Proportional to 30,295.26, 45,452.61 and 13,648.14

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Solution

The fourth proportional to 30,295.26, 45,452.61 and 13,648.14 is: 20,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.26 : 45,452.61 = 13,648.14 : x
  2. Step 2: Convert to fraction form
    30,295.26/45,452.61 = 13,648.14/x
  3. Step 3: Cross multiply
    30,295.26x = 45,452.61 × 13,648.14
  4. Step 4: Simplify right side
    30,295.26x = 620,343,584.65
  5. Step 5: Solve for x
    x = 620,343,584.65/30,295.26
  6. Step 6: Final answer
    x = 20,476.59

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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.