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Finding the Fourth Proportional to 27,314.48, 40,971.48 and 8,846.48

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Solution

The fourth proportional to 27,314.48, 40,971.48 and 8,846.48 is: 13,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.48 : 40,971.48 = 8,846.48 : x
  2. Step 2: Convert to fraction form
    27,314.48/40,971.48 = 8,846.48/x
  3. Step 3: Cross multiply
    27,314.48x = 40,971.48 × 8,846.48
  4. Step 4: Simplify right side
    27,314.48x = 362,453,378.39
  5. Step 5: Solve for x
    x = 362,453,378.39/27,314.48
  6. Step 6: Final answer
    x = 13,269.64

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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.