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Finding the Fourth Proportional to 71,687.43, 107,531.75 and 24,907.50

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Solution

The fourth proportional to 71,687.43, 107,531.75 and 24,907.50 is: 37,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687.43 : 107,531.75 = 24,907.50 : x
  2. Step 2: Convert to fraction form
    71,687.43/107,531.75 = 24,907.50/x
  3. Step 3: Cross multiply
    71,687.43x = 107,531.75 × 24,907.50
  4. Step 4: Simplify right side
    71,687.43x = 2,678,347,125.39
  5. Step 5: Solve for x
    x = 2,678,347,125.39/71,687.43
  6. Step 6: Final answer
    x = 37,361.46

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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.