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Finding the Fourth Proportional to 53,849.64, 80,774.49 and 25,763.09

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Solution

The fourth proportional to 53,849.64, 80,774.49 and 25,763.09 is: 38,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,849.64 : 80,774.49 = 25,763.09 : x
  2. Step 2: Convert to fraction form
    53,849.64/80,774.49 = 25,763.09/x
  3. Step 3: Cross multiply
    53,849.64x = 80,774.49 × 25,763.09
  4. Step 4: Simplify right side
    53,849.64x = 2,081,000,455.57
  5. Step 5: Solve for x
    x = 2,081,000,455.57/53,849.64
  6. Step 6: Final answer
    x = 38,644.65

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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.