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Finding the Fourth Proportional to 47,822.54, 65,991.02 and 27,680.67

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Solution

The fourth proportional to 47,822.54, 65,991.02 and 27,680.67 is: 38,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,822.54 : 65,991.02 = 27,680.67 : x
  2. Step 2: Convert to fraction form
    47,822.54/65,991.02 = 27,680.67/x
  3. Step 3: Cross multiply
    47,822.54x = 65,991.02 × 27,680.67
  4. Step 4: Simplify right side
    47,822.54x = 1,826,675,647.58
  5. Step 5: Solve for x
    x = 1,826,675,647.58/47,822.54
  6. Step 6: Final answer
    x = 38,196.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.