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Finding the Fourth Proportional to 33,037, 49,555.68 and 8,413

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Solution

The fourth proportional to 33,037, 49,555.68 and 8,413 is: 12,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037 : 49,555.68 = 8,413 : x
  2. Step 2: Convert to fraction form
    33,037/49,555.68 = 8,413/x
  3. Step 3: Cross multiply
    33,037x = 49,555.68 × 8,413
  4. Step 4: Simplify right side
    33,037x = 416,911,935.84
  5. Step 5: Solve for x
    x = 416,911,935.84/33,037
  6. Step 6: Final answer
    x = 12,619.55

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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.