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Finding the Fourth Proportional to 30,529.28, 45,789.14 and 8,344.38

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Solution

The fourth proportional to 30,529.28, 45,789.14 and 8,344.38 is: 12,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,529.28 : 45,789.14 = 8,344.38 : x
  2. Step 2: Convert to fraction form
    30,529.28/45,789.14 = 8,344.38/x
  3. Step 3: Cross multiply
    30,529.28x = 45,789.14 × 8,344.38
  4. Step 4: Simplify right side
    30,529.28x = 382,081,942.31
  5. Step 5: Solve for x
    x = 382,081,942.31/30,529.28
  6. Step 6: Final answer
    x = 12,515.26

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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.