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Finding the Fourth Proportional to 74,634.65, 102,962.49 and 50,427.80

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Solution

The fourth proportional to 74,634.65, 102,962.49 and 50,427.80 is: 69,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634.65 : 102,962.49 = 50,427.80 : x
  2. Step 2: Convert to fraction form
    74,634.65/102,962.49 = 50,427.80/x
  3. Step 3: Cross multiply
    74,634.65x = 102,962.49 × 50,427.80
  4. Step 4: Simplify right side
    74,634.65x = 5,192,171,338.41
  5. Step 5: Solve for x
    x = 5,192,171,338.41/74,634.65
  6. Step 6: Final answer
    x = 69,567.84

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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.