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Finding the Fourth Proportional to 27,475.20, 41,212.80 and 15,811.20

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Solution

The fourth proportional to 27,475.20, 41,212.80 and 15,811.20 is: 23,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.20 : 41,212.80 = 15,811.20 : x
  2. Step 2: Convert to fraction form
    27,475.20/41,212.80 = 15,811.20/x
  3. Step 3: Cross multiply
    27,475.20x = 41,212.80 × 15,811.20
  4. Step 4: Simplify right side
    27,475.20x = 651,623,823.36
  5. Step 5: Solve for x
    x = 651,623,823.36/27,475.20
  6. Step 6: Final answer
    x = 23,716.80

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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.