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Finding the Fourth Proportional to 30,491.99, 45,742.23 and 9,433.73

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Solution

The fourth proportional to 30,491.99, 45,742.23 and 9,433.73 is: 14,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.99 : 45,742.23 = 9,433.73 : x
  2. Step 2: Convert to fraction form
    30,491.99/45,742.23 = 9,433.73/x
  3. Step 3: Cross multiply
    30,491.99x = 45,742.23 × 9,433.73
  4. Step 4: Simplify right side
    30,491.99x = 431,519,847.42
  5. Step 5: Solve for x
    x = 431,519,847.42/30,491.99
  6. Step 6: Final answer
    x = 14,151.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.