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Finding the Fourth Proportional to 51,888.98, 77,843.20 and 16,824.08

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Solution

The fourth proportional to 51,888.98, 77,843.20 and 16,824.08 is: 25,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.98 : 77,843.20 = 16,824.08 : x
  2. Step 2: Convert to fraction form
    51,888.98/77,843.20 = 16,824.08/x
  3. Step 3: Cross multiply
    51,888.98x = 77,843.20 × 16,824.08
  4. Step 4: Simplify right side
    51,888.98x = 1,309,640,224.26
  5. Step 5: Solve for x
    x = 1,309,640,224.26/51,888.98
  6. Step 6: Final answer
    x = 25,239.27

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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.