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Finding the Fourth Proportional to 64,213.43, 96,330.43 and 19,829.75

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Solution

The fourth proportional to 64,213.43, 96,330.43 and 19,829.75 is: 29,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,213.43 : 96,330.43 = 19,829.75 : x
  2. Step 2: Convert to fraction form
    64,213.43/96,330.43 = 19,829.75/x
  3. Step 3: Cross multiply
    64,213.43x = 96,330.43 × 19,829.75
  4. Step 4: Simplify right side
    64,213.43x = 1,910,207,813.07
  5. Step 5: Solve for x
    x = 1,910,207,813.07/64,213.43
  6. Step 6: Final answer
    x = 29,747.80

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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.