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Finding the Fourth Proportional to 49,576.50, 74,350.17 and 14,507.82

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Solution

The fourth proportional to 49,576.50, 74,350.17 and 14,507.82 is: 21,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576.50 : 74,350.17 = 14,507.82 : x
  2. Step 2: Convert to fraction form
    49,576.50/74,350.17 = 14,507.82/x
  3. Step 3: Cross multiply
    49,576.50x = 74,350.17 × 14,507.82
  4. Step 4: Simplify right side
    49,576.50x = 1,078,658,883.33
  5. Step 5: Solve for x
    x = 1,078,658,883.33/49,576.50
  6. Step 6: Final answer
    x = 21,757.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.