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Finding the Fourth Proportional to 30,299.94, 41,802.12 and 18,964.80

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Solution

The fourth proportional to 30,299.94, 41,802.12 and 18,964.80 is: 26,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.94 : 41,802.12 = 18,964.80 : x
  2. Step 2: Convert to fraction form
    30,299.94/41,802.12 = 18,964.80/x
  3. Step 3: Cross multiply
    30,299.94x = 41,802.12 × 18,964.80
  4. Step 4: Simplify right side
    30,299.94x = 792,768,845.38
  5. Step 5: Solve for x
    x = 792,768,845.38/30,299.94
  6. Step 6: Final answer
    x = 26,164.04

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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.