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Finding the Fourth Proportional to 30,294.36, 45,452.88 and 13,649.40

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Solution

The fourth proportional to 30,294.36, 45,452.88 and 13,649.40 is: 20,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.36 : 45,452.88 = 13,649.40 : x
  2. Step 2: Convert to fraction form
    30,294.36/45,452.88 = 13,649.40/x
  3. Step 3: Cross multiply
    30,294.36x = 45,452.88 × 13,649.40
  4. Step 4: Simplify right side
    30,294.36x = 620,404,540.27
  5. Step 5: Solve for x
    x = 620,404,540.27/30,294.36
  6. Step 6: Final answer
    x = 20,479.21

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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.