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Finding the Fourth Proportional to 38,604.10, 53,277.36 and 27,857.80

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Solution

The fourth proportional to 38,604.10, 53,277.36 and 27,857.80 is: 38,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.10 : 53,277.36 = 27,857.80 : x
  2. Step 2: Convert to fraction form
    38,604.10/53,277.36 = 27,857.80/x
  3. Step 3: Cross multiply
    38,604.10x = 53,277.36 × 27,857.80
  4. Step 4: Simplify right side
    38,604.10x = 1,484,190,039.41
  5. Step 5: Solve for x
    x = 1,484,190,039.41/38,604.10
  6. Step 6: Final answer
    x = 38,446.44

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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.