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Finding the Fourth Proportional to 37,095.50, 51,194.22 and 20,328.50

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Solution

The fourth proportional to 37,095.50, 51,194.22 and 20,328.50 is: 28,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,095.50 : 51,194.22 = 20,328.50 : x
  2. Step 2: Convert to fraction form
    37,095.50/51,194.22 = 20,328.50/x
  3. Step 3: Cross multiply
    37,095.50x = 51,194.22 × 20,328.50
  4. Step 4: Simplify right side
    37,095.50x = 1,040,701,701.27
  5. Step 5: Solve for x
    x = 1,040,701,701.27/37,095.50
  6. Step 6: Final answer
    x = 28,054.66

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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.