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Finding the Fourth Proportional to 65,638.40, 98,467.20 and 21,257.60

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Solution

The fourth proportional to 65,638.40, 98,467.20 and 21,257.60 is: 31,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,638.40 : 98,467.20 = 21,257.60 : x
  2. Step 2: Convert to fraction form
    65,638.40/98,467.20 = 21,257.60/x
  3. Step 3: Cross multiply
    65,638.40x = 98,467.20 × 21,257.60
  4. Step 4: Simplify right side
    65,638.40x = 2,093,176,350.72
  5. Step 5: Solve for x
    x = 2,093,176,350.72/65,638.40
  6. Step 6: Final answer
    x = 31,889.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.