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Finding the Fourth Proportional to 30,334.73, 45,502.77 and 10,344.20

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Solution

The fourth proportional to 30,334.73, 45,502.77 and 10,344.20 is: 15,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.73 : 45,502.77 = 10,344.20 : x
  2. Step 2: Convert to fraction form
    30,334.73/45,502.77 = 10,344.20/x
  3. Step 3: Cross multiply
    30,334.73x = 45,502.77 × 10,344.20
  4. Step 4: Simplify right side
    30,334.73x = 470,689,753.43
  5. Step 5: Solve for x
    x = 470,689,753.43/30,334.73
  6. Step 6: Final answer
    x = 15,516.53

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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.