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Finding the Fourth Proportional to 30,658.16, 45,989.89 and 8,471.54

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Solution

The fourth proportional to 30,658.16, 45,989.89 and 8,471.54 is: 12,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.16 : 45,989.89 = 8,471.54 : x
  2. Step 2: Convert to fraction form
    30,658.16/45,989.89 = 8,471.54/x
  3. Step 3: Cross multiply
    30,658.16x = 45,989.89 × 8,471.54
  4. Step 4: Simplify right side
    30,658.16x = 389,605,286.53
  5. Step 5: Solve for x
    x = 389,605,286.53/30,658.16
  6. Step 6: Final answer
    x = 12,708.04

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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.