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Finding the Fourth Proportional to 30,524.20, 45,791.70 and 10,814.20

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Solution

The fourth proportional to 30,524.20, 45,791.70 and 10,814.20 is: 16,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.20 : 45,791.70 = 10,814.20 : x
  2. Step 2: Convert to fraction form
    30,524.20/45,791.70 = 10,814.20/x
  3. Step 3: Cross multiply
    30,524.20x = 45,791.70 × 10,814.20
  4. Step 4: Simplify right side
    30,524.20x = 495,200,602.14
  5. Step 5: Solve for x
    x = 495,200,602.14/30,524.20
  6. Step 6: Final answer
    x = 16,223.21

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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.