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Finding the Fourth Proportional to 37,294.84, 51,466.89 and 20,527.84

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Solution

The fourth proportional to 37,294.84, 51,466.89 and 20,527.84 is: 28,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.84 : 51,466.89 = 20,527.84 : x
  2. Step 2: Convert to fraction form
    37,294.84/51,466.89 = 20,527.84/x
  3. Step 3: Cross multiply
    37,294.84x = 51,466.89 × 20,527.84
  4. Step 4: Simplify right side
    37,294.84x = 1,056,504,083.22
  5. Step 5: Solve for x
    x = 1,056,504,083.22/37,294.84
  6. Step 6: Final answer
    x = 28,328.43

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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.