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Finding the Fourth Proportional to 65,367.44, 98,062.68 and 30,346.64

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Solution

The fourth proportional to 65,367.44, 98,062.68 and 30,346.64 is: 45,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.44 : 98,062.68 = 30,346.64 : x
  2. Step 2: Convert to fraction form
    65,367.44/98,062.68 = 30,346.64/x
  3. Step 3: Cross multiply
    65,367.44x = 98,062.68 × 30,346.64
  4. Step 4: Simplify right side
    65,367.44x = 2,975,872,847.40
  5. Step 5: Solve for x
    x = 2,975,872,847.40/65,367.44
  6. Step 6: Final answer
    x = 45,525.31

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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.