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Finding the Fourth Proportional to 30,298.45, 45,449.74 and 10,299.80

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Solution

The fourth proportional to 30,298.45, 45,449.74 and 10,299.80 is: 15,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.45 : 45,449.74 = 10,299.80 : x
  2. Step 2: Convert to fraction form
    30,298.45/45,449.74 = 10,299.80/x
  3. Step 3: Cross multiply
    30,298.45x = 45,449.74 × 10,299.80
  4. Step 4: Simplify right side
    30,298.45x = 468,123,213.86
  5. Step 5: Solve for x
    x = 468,123,213.86/30,298.45
  6. Step 6: Final answer
    x = 15,450.40

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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.