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Finding the Fourth Proportional to 29,794.40, 44,676.30 and 15,762

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Solution

The fourth proportional to 29,794.40, 44,676.30 and 15,762 is: 23,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.40 : 44,676.30 = 15,762 : x
  2. Step 2: Convert to fraction form
    29,794.40/44,676.30 = 15,762/x
  3. Step 3: Cross multiply
    29,794.40x = 44,676.30 × 15,762
  4. Step 4: Simplify right side
    29,794.40x = 704,187,840.60
  5. Step 5: Solve for x
    x = 704,187,840.60/29,794.40
  6. Step 6: Final answer
    x = 23,634.91

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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.