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Finding the Fourth Proportional to 37,567.36, 51,843 and 20,800

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Solution

The fourth proportional to 37,567.36, 51,843 and 20,800 is: 28,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,567.36 : 51,843 = 20,800 : x
  2. Step 2: Convert to fraction form
    37,567.36/51,843 = 20,800/x
  3. Step 3: Cross multiply
    37,567.36x = 51,843 × 20,800
  4. Step 4: Simplify right side
    37,567.36x = 1,078,334,400
  5. Step 5: Solve for x
    x = 1,078,334,400/37,567.36
  6. Step 6: Final answer
    x = 28,704.02

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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.