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Finding the Fourth Proportional to 30,081.94, 45,167.24 and 16,780.91

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Solution

The fourth proportional to 30,081.94, 45,167.24 and 16,780.91 is: 25,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,081.94 : 45,167.24 = 16,780.91 : x
  2. Step 2: Convert to fraction form
    30,081.94/45,167.24 = 16,780.91/x
  3. Step 3: Cross multiply
    30,081.94x = 45,167.24 × 16,780.91
  4. Step 4: Simplify right side
    30,081.94x = 757,947,205.50
  5. Step 5: Solve for x
    x = 757,947,205.50/30,081.94
  6. Step 6: Final answer
    x = 25,196.09

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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.