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Finding the Fourth Proportional to 27,704.53, 41,548.05 and 8,980.24

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Solution

The fourth proportional to 27,704.53, 41,548.05 and 8,980.24 is: 13,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.53 : 41,548.05 = 8,980.24 : x
  2. Step 2: Convert to fraction form
    27,704.53/41,548.05 = 8,980.24/x
  3. Step 3: Cross multiply
    27,704.53x = 41,548.05 × 8,980.24
  4. Step 4: Simplify right side
    27,704.53x = 373,111,460.53
  5. Step 5: Solve for x
    x = 373,111,460.53/27,704.53
  6. Step 6: Final answer
    x = 13,467.53

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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.