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Finding the Fourth Proportional to 27,905.81, 41,858.72 and 12,320.33

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Solution

The fourth proportional to 27,905.81, 41,858.72 and 12,320.33 is: 18,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905.81 : 41,858.72 = 12,320.33 : x
  2. Step 2: Convert to fraction form
    27,905.81/41,858.72 = 12,320.33/x
  3. Step 3: Cross multiply
    27,905.81x = 41,858.72 × 12,320.33
  4. Step 4: Simplify right side
    27,905.81x = 515,713,243.78
  5. Step 5: Solve for x
    x = 515,713,243.78/27,905.81
  6. Step 6: Final answer
    x = 18,480.50

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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.