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Finding the Fourth Proportional to 49,185.76, 67,705.72 and 37,228

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Solution

The fourth proportional to 49,185.76, 67,705.72 and 37,228 is: 51,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,185.76 : 67,705.72 = 37,228 : x
  2. Step 2: Convert to fraction form
    49,185.76/67,705.72 = 37,228/x
  3. Step 3: Cross multiply
    49,185.76x = 67,705.72 × 37,228
  4. Step 4: Simplify right side
    49,185.76x = 2,520,548,544.16
  5. Step 5: Solve for x
    x = 2,520,548,544.16/49,185.76
  6. Step 6: Final answer
    x = 51,245.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.