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Finding the Fourth Proportional to 65,234.44, 97,868.06 and 18,487.31

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Solution

The fourth proportional to 65,234.44, 97,868.06 and 18,487.31 is: 27,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.44 : 97,868.06 = 18,487.31 : x
  2. Step 2: Convert to fraction form
    65,234.44/97,868.06 = 18,487.31/x
  3. Step 3: Cross multiply
    65,234.44x = 97,868.06 × 18,487.31
  4. Step 4: Simplify right side
    65,234.44x = 1,809,317,455.21
  5. Step 5: Solve for x
    x = 1,809,317,455.21/65,234.44
  6. Step 6: Final answer
    x = 27,735.62

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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.