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Finding the Fourth Proportional to 65,188.20, 97,820.70 and 23,629.80

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Solution

The fourth proportional to 65,188.20, 97,820.70 and 23,629.80 is: 35,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.20 : 97,820.70 = 23,629.80 : x
  2. Step 2: Convert to fraction form
    65,188.20/97,820.70 = 23,629.80/x
  3. Step 3: Cross multiply
    65,188.20x = 97,820.70 × 23,629.80
  4. Step 4: Simplify right side
    65,188.20x = 2,311,483,576.86
  5. Step 5: Solve for x
    x = 2,311,483,576.86/65,188.20
  6. Step 6: Final answer
    x = 35,458.62

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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.