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Finding the Fourth Proportional to 37,294.50, 51,466.41 and 20,527.50

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Solution

The fourth proportional to 37,294.50, 51,466.41 and 20,527.50 is: 28,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.50 : 51,466.41 = 20,527.50 : x
  2. Step 2: Convert to fraction form
    37,294.50/51,466.41 = 20,527.50/x
  3. Step 3: Cross multiply
    37,294.50x = 51,466.41 × 20,527.50
  4. Step 4: Simplify right side
    37,294.50x = 1,056,476,731.28
  5. Step 5: Solve for x
    x = 1,056,476,731.28/37,294.50
  6. Step 6: Final answer
    x = 28,327.95

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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.