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Finding the Fourth Proportional to 123,836.41, 185,754.62 and 48,991.80

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Solution

The fourth proportional to 123,836.41, 185,754.62 and 48,991.80 is: 73,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,836.41 : 185,754.62 = 48,991.80 : x
  2. Step 2: Convert to fraction form
    123,836.41/185,754.62 = 48,991.80/x
  3. Step 3: Cross multiply
    123,836.41x = 185,754.62 × 48,991.80
  4. Step 4: Simplify right side
    123,836.41x = 9,100,453,314.60
  5. Step 5: Solve for x
    x = 9,100,453,314.60/123,836.41
  6. Step 6: Final answer
    x = 73,487.70

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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.