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Finding the Fourth Proportional to 64,168.34, 96,266.25 and 19,193.22

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Solution

The fourth proportional to 64,168.34, 96,266.25 and 19,193.22 is: 28,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168.34 : 96,266.25 = 19,193.22 : x
  2. Step 2: Convert to fraction form
    64,168.34/96,266.25 = 19,193.22/x
  3. Step 3: Cross multiply
    64,168.34x = 96,266.25 × 19,193.22
  4. Step 4: Simplify right side
    64,168.34x = 1,847,659,314.83
  5. Step 5: Solve for x
    x = 1,847,659,314.83/64,168.34
  6. Step 6: Final answer
    x = 28,793.94

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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.