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Finding the Fourth Proportional to 64,182.96, 96,268.35 and 19,797.78

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Solution

The fourth proportional to 64,182.96, 96,268.35 and 19,797.78 is: 29,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,182.96 : 96,268.35 = 19,797.78 : x
  2. Step 2: Convert to fraction form
    64,182.96/96,268.35 = 19,797.78/x
  3. Step 3: Cross multiply
    64,182.96x = 96,268.35 × 19,797.78
  4. Step 4: Simplify right side
    64,182.96x = 1,905,899,614.26
  5. Step 5: Solve for x
    x = 1,905,899,614.26/64,182.96
  6. Step 6: Final answer
    x = 29,694.79

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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.