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Finding the Fourth Proportional to 27,858.69, 41,802.48 and 18,505.26

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Solution

The fourth proportional to 27,858.69, 41,802.48 and 18,505.26 is: 27,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.69 : 41,802.48 = 18,505.26 : x
  2. Step 2: Convert to fraction form
    27,858.69/41,802.48 = 18,505.26/x
  3. Step 3: Cross multiply
    27,858.69x = 41,802.48 × 18,505.26
  4. Step 4: Simplify right side
    27,858.69x = 773,565,761.04
  5. Step 5: Solve for x
    x = 773,565,761.04/27,858.69
  6. Step 6: Final answer
    x = 27,767.49

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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.