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Finding the Fourth Proportional to 30,422.14, 45,629.70 and 8,234.20

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Solution

The fourth proportional to 30,422.14, 45,629.70 and 8,234.20 is: 12,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.14 : 45,629.70 = 8,234.20 : x
  2. Step 2: Convert to fraction form
    30,422.14/45,629.70 = 8,234.20/x
  3. Step 3: Cross multiply
    30,422.14x = 45,629.70 × 8,234.20
  4. Step 4: Simplify right side
    30,422.14x = 375,724,075.74
  5. Step 5: Solve for x
    x = 375,724,075.74/30,422.14
  6. Step 6: Final answer
    x = 12,350.35

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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.