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Finding the Fourth Proportional to 37,660.50, 51,973.92 and 20,893.50

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Solution

The fourth proportional to 37,660.50, 51,973.92 and 20,893.50 is: 28,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.50 : 51,973.92 = 20,893.50 : x
  2. Step 2: Convert to fraction form
    37,660.50/51,973.92 = 20,893.50/x
  3. Step 3: Cross multiply
    37,660.50x = 51,973.92 × 20,893.50
  4. Step 4: Simplify right side
    37,660.50x = 1,085,917,097.52
  5. Step 5: Solve for x
    x = 1,085,917,097.52/37,660.50
  6. Step 6: Final answer
    x = 28,834.38

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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.