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Finding the Fourth Proportional to 30,085.65, 41,519.73 and 16,658.38

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Solution

The fourth proportional to 30,085.65, 41,519.73 and 16,658.38 is: 22,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.65 : 41,519.73 = 16,658.38 : x
  2. Step 2: Convert to fraction form
    30,085.65/41,519.73 = 16,658.38/x
  3. Step 3: Cross multiply
    30,085.65x = 41,519.73 × 16,658.38
  4. Step 4: Simplify right side
    30,085.65x = 691,651,429.27
  5. Step 5: Solve for x
    x = 691,651,429.27/30,085.65
  6. Step 6: Final answer
    x = 22,989.41

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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.