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Finding the Fourth Proportional to 50,128.80, 69,177.60 and 27,772.80

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Solution

The fourth proportional to 50,128.80, 69,177.60 and 27,772.80 is: 38,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,128.80 : 69,177.60 = 27,772.80 : x
  2. Step 2: Convert to fraction form
    50,128.80/69,177.60 = 27,772.80/x
  3. Step 3: Cross multiply
    50,128.80x = 69,177.60 × 27,772.80
  4. Step 4: Simplify right side
    50,128.80x = 1,921,255,649.28
  5. Step 5: Solve for x
    x = 1,921,255,649.28/50,128.80
  6. Step 6: Final answer
    x = 38,326.38

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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.