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Finding the Fourth Proportional to 34,267, 51,401.40 and 10,893.43

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Solution

The fourth proportional to 34,267, 51,401.40 and 10,893.43 is: 16,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267 : 51,401.40 = 10,893.43 : x
  2. Step 2: Convert to fraction form
    34,267/51,401.40 = 10,893.43/x
  3. Step 3: Cross multiply
    34,267x = 51,401.40 × 10,893.43
  4. Step 4: Simplify right side
    34,267x = 559,937,552.80
  5. Step 5: Solve for x
    x = 559,937,552.80/34,267
  6. Step 6: Final answer
    x = 16,340.43

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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.