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Finding the Fourth Proportional to 37,072.81, 51,157.24 and 21,962.76

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Solution

The fourth proportional to 37,072.81, 51,157.24 and 21,962.76 is: 30,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.81 : 51,157.24 = 21,962.76 : x
  2. Step 2: Convert to fraction form
    37,072.81/51,157.24 = 21,962.76/x
  3. Step 3: Cross multiply
    37,072.81x = 51,157.24 × 21,962.76
  4. Step 4: Simplify right side
    37,072.81x = 1,123,554,184.38
  5. Step 5: Solve for x
    x = 1,123,554,184.38/37,072.81
  6. Step 6: Final answer
    x = 30,306.69

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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.