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Finding the Fourth Proportional to 30,176.46, 41,668.38 and 19,584.18

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Solution

The fourth proportional to 30,176.46, 41,668.38 and 19,584.18 is: 27,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.46 : 41,668.38 = 19,584.18 : x
  2. Step 2: Convert to fraction form
    30,176.46/41,668.38 = 19,584.18/x
  3. Step 3: Cross multiply
    30,176.46x = 41,668.38 × 19,584.18
  4. Step 4: Simplify right side
    30,176.46x = 816,041,054.23
  5. Step 5: Solve for x
    x = 816,041,054.23/30,176.46
  6. Step 6: Final answer
    x = 27,042.31

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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.