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Finding the Fourth Proportional to 30,834, 46,251.72 and 10,057.44

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Solution

The fourth proportional to 30,834, 46,251.72 and 10,057.44 is: 15,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834 : 46,251.72 = 10,057.44 : x
  2. Step 2: Convert to fraction form
    30,834/46,251.72 = 10,057.44/x
  3. Step 3: Cross multiply
    30,834x = 46,251.72 × 10,057.44
  4. Step 4: Simplify right side
    30,834x = 465,173,898.80
  5. Step 5: Solve for x
    x = 465,173,898.80/30,834
  6. Step 6: Final answer
    x = 15,086.39

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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.