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Finding the Fourth Proportional to 51,757, 71,424.66 and 29,401

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Solution

The fourth proportional to 51,757, 71,424.66 and 29,401 is: 40,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,757 : 71,424.66 = 29,401 : x
  2. Step 2: Convert to fraction form
    51,757/71,424.66 = 29,401/x
  3. Step 3: Cross multiply
    51,757x = 71,424.66 × 29,401
  4. Step 4: Simplify right side
    51,757x = 2,099,956,428.66
  5. Step 5: Solve for x
    x = 2,099,956,428.66/51,757
  6. Step 6: Final answer
    x = 40,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.