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Finding the Fourth Proportional to 30,276.99, 45,410.13 and 9,211.95

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Solution

The fourth proportional to 30,276.99, 45,410.13 and 9,211.95 is: 13,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.99 : 45,410.13 = 9,211.95 : x
  2. Step 2: Convert to fraction form
    30,276.99/45,410.13 = 9,211.95/x
  3. Step 3: Cross multiply
    30,276.99x = 45,410.13 × 9,211.95
  4. Step 4: Simplify right side
    30,276.99x = 418,315,847.05
  5. Step 5: Solve for x
    x = 418,315,847.05/30,276.99
  6. Step 6: Final answer
    x = 13,816.30

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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.