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Finding the Fourth Proportional to 29,855.93, 44,785.49 and 7,669.47

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Solution

The fourth proportional to 29,855.93, 44,785.49 and 7,669.47 is: 11,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,855.93 : 44,785.49 = 7,669.47 : x
  2. Step 2: Convert to fraction form
    29,855.93/44,785.49 = 7,669.47/x
  3. Step 3: Cross multiply
    29,855.93x = 44,785.49 × 7,669.47
  4. Step 4: Simplify right side
    29,855.93x = 343,480,971.99
  5. Step 5: Solve for x
    x = 343,480,971.99/29,855.93
  6. Step 6: Final answer
    x = 11,504.61

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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.