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Finding the Fourth Proportional to 64,464.32, 96,725.48 and 34,847.48

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Solution

The fourth proportional to 64,464.32, 96,725.48 and 34,847.48 is: 52,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.32 : 96,725.48 = 34,847.48 : x
  2. Step 2: Convert to fraction form
    64,464.32/96,725.48 = 34,847.48/x
  3. Step 3: Cross multiply
    64,464.32x = 96,725.48 × 34,847.48
  4. Step 4: Simplify right side
    64,464.32x = 3,370,639,229.79
  5. Step 5: Solve for x
    x = 3,370,639,229.79/64,464.32
  6. Step 6: Final answer
    x = 52,286.90

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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.