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Finding the Fourth Proportional to 27,478.60, 41,199.90 and 10,828.60

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Solution

The fourth proportional to 27,478.60, 41,199.90 and 10,828.60 is: 16,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.60 : 41,199.90 = 10,828.60 : x
  2. Step 2: Convert to fraction form
    27,478.60/41,199.90 = 10,828.60/x
  3. Step 3: Cross multiply
    27,478.60x = 41,199.90 × 10,828.60
  4. Step 4: Simplify right side
    27,478.60x = 446,137,237.14
  5. Step 5: Solve for x
    x = 446,137,237.14/27,478.60
  6. Step 6: Final answer
    x = 16,235.81

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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.