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Finding the Fourth Proportional to 37,205.76, 51,344.33 and 20,210.33

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Solution

The fourth proportional to 37,205.76, 51,344.33 and 20,210.33 is: 27,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.76 : 51,344.33 = 20,210.33 : x
  2. Step 2: Convert to fraction form
    37,205.76/51,344.33 = 20,210.33/x
  3. Step 3: Cross multiply
    37,205.76x = 51,344.33 × 20,210.33
  4. Step 4: Simplify right side
    37,205.76x = 1,037,685,623.52
  5. Step 5: Solve for x
    x = 1,037,685,623.52/37,205.76
  6. Step 6: Final answer
    x = 27,890.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.