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Finding the Fourth Proportional to 29,830.74, 44,745.63 and 7,643.94

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Solution

The fourth proportional to 29,830.74, 44,745.63 and 7,643.94 is: 11,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.74 : 44,745.63 = 7,643.94 : x
  2. Step 2: Convert to fraction form
    29,830.74/44,745.63 = 7,643.94/x
  3. Step 3: Cross multiply
    29,830.74x = 44,745.63 × 7,643.94
  4. Step 4: Simplify right side
    29,830.74x = 342,032,910.98
  5. Step 5: Solve for x
    x = 342,032,910.98/29,830.74
  6. Step 6: Final answer
    x = 11,465.79

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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.