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Finding the Fourth Proportional to 64,005.12, 95,906.16 and 46,392.48

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Solution

The fourth proportional to 64,005.12, 95,906.16 and 46,392.48 is: 69,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.12 : 95,906.16 = 46,392.48 : x
  2. Step 2: Convert to fraction form
    64,005.12/95,906.16 = 46,392.48/x
  3. Step 3: Cross multiply
    64,005.12x = 95,906.16 × 46,392.48
  4. Step 4: Simplify right side
    64,005.12x = 4,449,324,609.68
  5. Step 5: Solve for x
    x = 4,449,324,609.68/64,005.12
  6. Step 6: Final answer
    x = 69,515.14

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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.