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Finding the Fourth Proportional to 27,233.86, 40,845.93 and 7,243.47

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Solution

The fourth proportional to 27,233.86, 40,845.93 and 7,243.47 is: 10,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233.86 : 40,845.93 = 7,243.47 : x
  2. Step 2: Convert to fraction form
    27,233.86/40,845.93 = 7,243.47/x
  3. Step 3: Cross multiply
    27,233.86x = 40,845.93 × 7,243.47
  4. Step 4: Simplify right side
    27,233.86x = 295,866,268.58
  5. Step 5: Solve for x
    x = 295,866,268.58/27,233.86
  6. Step 6: Final answer
    x = 10,863.91

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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.