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Finding the Fourth Proportional to 27,627, 38,125.68 and 15,051.75

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Solution

The fourth proportional to 27,627, 38,125.68 and 15,051.75 is: 20,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,627 : 38,125.68 = 15,051.75 : x
  2. Step 2: Convert to fraction form
    27,627/38,125.68 = 15,051.75/x
  3. Step 3: Cross multiply
    27,627x = 38,125.68 × 15,051.75
  4. Step 4: Simplify right side
    27,627x = 573,858,203.94
  5. Step 5: Solve for x
    x = 573,858,203.94/27,627
  6. Step 6: Final answer
    x = 20,771.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.