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Finding the Fourth Proportional to 30,439.40, 45,658.46 and 14,023.40

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Solution

The fourth proportional to 30,439.40, 45,658.46 and 14,023.40 is: 21,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.40 : 45,658.46 = 14,023.40 : x
  2. Step 2: Convert to fraction form
    30,439.40/45,658.46 = 14,023.40/x
  3. Step 3: Cross multiply
    30,439.40x = 45,658.46 × 14,023.40
  4. Step 4: Simplify right side
    30,439.40x = 640,286,847.96
  5. Step 5: Solve for x
    x = 640,286,847.96/30,439.40
  6. Step 6: Final answer
    x = 21,034.81

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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.