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Finding the Fourth Proportional to 27,625.82, 38,123.63 and 15,050.57

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Solution

The fourth proportional to 27,625.82, 38,123.63 and 15,050.57 is: 20,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.82 : 38,123.63 = 15,050.57 : x
  2. Step 2: Convert to fraction form
    27,625.82/38,123.63 = 15,050.57/x
  3. Step 3: Cross multiply
    27,625.82x = 38,123.63 × 15,050.57
  4. Step 4: Simplify right side
    27,625.82x = 573,782,152.54
  5. Step 5: Solve for x
    x = 573,782,152.54/27,625.82
  6. Step 6: Final answer
    x = 20,769.78

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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.