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Finding the Fourth Proportional to 64,194.12, 96,255.90 and 19,808.64

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Solution

The fourth proportional to 64,194.12, 96,255.90 and 19,808.64 is: 29,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194.12 : 96,255.90 = 19,808.64 : x
  2. Step 2: Convert to fraction form
    64,194.12/96,255.90 = 19,808.64/x
  3. Step 3: Cross multiply
    64,194.12x = 96,255.90 × 19,808.64
  4. Step 4: Simplify right side
    64,194.12x = 1,906,698,470.98
  5. Step 5: Solve for x
    x = 1,906,698,470.98/64,194.12
  6. Step 6: Final answer
    x = 29,702.07

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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.