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Finding the Fourth Proportional to 85,286.52, 127,962.99 and 35,354.07

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Solution

The fourth proportional to 85,286.52, 127,962.99 and 35,354.07 is: 53,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.52 : 127,962.99 = 35,354.07 : x
  2. Step 2: Convert to fraction form
    85,286.52/127,962.99 = 35,354.07/x
  3. Step 3: Cross multiply
    85,286.52x = 127,962.99 × 35,354.07
  4. Step 4: Simplify right side
    85,286.52x = 4,524,012,505.87
  5. Step 5: Solve for x
    x = 4,524,012,505.87/85,286.52
  6. Step 6: Final answer
    x = 53,044.87

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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.