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Finding the Fourth Proportional to 27,888, 41,846.40 and 18,534.48

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Solution

The fourth proportional to 27,888, 41,846.40 and 18,534.48 is: 27,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 41,846.40 = 18,534.48 : x
  2. Step 2: Convert to fraction form
    27,888/41,846.40 = 18,534.48/x
  3. Step 3: Cross multiply
    27,888x = 41,846.40 × 18,534.48
  4. Step 4: Simplify right side
    27,888x = 775,601,263.87
  5. Step 5: Solve for x
    x = 775,601,263.87/27,888
  6. Step 6: Final answer
    x = 27,811.29

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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.