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Finding the Fourth Proportional to 211,592.52, 317,380.59 and 53,825.09

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Solution

The fourth proportional to 211,592.52, 317,380.59 and 53,825.09 is: 80,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,592.52 : 317,380.59 = 53,825.09 : x
  2. Step 2: Convert to fraction form
    211,592.52/317,380.59 = 53,825.09/x
  3. Step 3: Cross multiply
    211,592.52x = 317,380.59 × 53,825.09
  4. Step 4: Simplify right side
    211,592.52x = 17,083,037,234.10
  5. Step 5: Solve for x
    x = 17,083,037,234.10/211,592.52
  6. Step 6: Final answer
    x = 80,735.54

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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.