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Finding the Fourth Proportional to 65,012.16, 97,459.92 and 23,449.44

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Solution

The fourth proportional to 65,012.16, 97,459.92 and 23,449.44 is: 35,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.16 : 97,459.92 = 23,449.44 : x
  2. Step 2: Convert to fraction form
    65,012.16/97,459.92 = 23,449.44/x
  3. Step 3: Cross multiply
    65,012.16x = 97,459.92 × 23,449.44
  4. Step 4: Simplify right side
    65,012.16x = 2,285,380,546.44
  5. Step 5: Solve for x
    x = 2,285,380,546.44/65,012.16
  6. Step 6: Final answer
    x = 35,153.12

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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.