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Finding the Fourth Proportional to 34,205.41, 51,313.52 and 12,021

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Solution

The fourth proportional to 34,205.41, 51,313.52 and 12,021 is: 18,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.41 : 51,313.52 = 12,021 : x
  2. Step 2: Convert to fraction form
    34,205.41/51,313.52 = 12,021/x
  3. Step 3: Cross multiply
    34,205.41x = 51,313.52 × 12,021
  4. Step 4: Simplify right side
    34,205.41x = 616,839,823.92
  5. Step 5: Solve for x
    x = 616,839,823.92/34,205.41
  6. Step 6: Final answer
    x = 18,033.40

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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.