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Finding the Fourth Proportional to 37,896.20, 52,295.48 and 20,900.80

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Solution

The fourth proportional to 37,896.20, 52,295.48 and 20,900.80 is: 28,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896.20 : 52,295.48 = 20,900.80 : x
  2. Step 2: Convert to fraction form
    37,896.20/52,295.48 = 20,900.80/x
  3. Step 3: Cross multiply
    37,896.20x = 52,295.48 × 20,900.80
  4. Step 4: Simplify right side
    37,896.20x = 1,093,017,368.38
  5. Step 5: Solve for x
    x = 1,093,017,368.38/37,896.20
  6. Step 6: Final answer
    x = 28,842.40

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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.