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Finding the Fourth Proportional to 65,383.20, 98,074.80 and 23,820.48

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Solution

The fourth proportional to 65,383.20, 98,074.80 and 23,820.48 is: 35,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.20 : 98,074.80 = 23,820.48 : x
  2. Step 2: Convert to fraction form
    65,383.20/98,074.80 = 23,820.48/x
  3. Step 3: Cross multiply
    65,383.20x = 98,074.80 × 23,820.48
  4. Step 4: Simplify right side
    65,383.20x = 2,336,188,811.90
  5. Step 5: Solve for x
    x = 2,336,188,811.90/65,383.20
  6. Step 6: Final answer
    x = 35,730.72

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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.