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Finding the Fourth Proportional to 37,674.19, 51,962.97 and 24,938.28

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Solution

The fourth proportional to 37,674.19, 51,962.97 and 24,938.28 is: 34,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674.19 : 51,962.97 = 24,938.28 : x
  2. Step 2: Convert to fraction form
    37,674.19/51,962.97 = 24,938.28/x
  3. Step 3: Cross multiply
    37,674.19x = 51,962.97 × 24,938.28
  4. Step 4: Simplify right side
    37,674.19x = 1,295,867,048.73
  5. Step 5: Solve for x
    x = 1,295,867,048.73/37,674.19
  6. Step 6: Final answer
    x = 34,396.68

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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.