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Finding the Fourth Proportional to 49,016.70, 67,644 and 27,795.60

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Solution

The fourth proportional to 49,016.70, 67,644 and 27,795.60 is: 38,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,016.70 : 67,644 = 27,795.60 : x
  2. Step 2: Convert to fraction form
    49,016.70/67,644 = 27,795.60/x
  3. Step 3: Cross multiply
    49,016.70x = 67,644 × 27,795.60
  4. Step 4: Simplify right side
    49,016.70x = 1,880,205,566.40
  5. Step 5: Solve for x
    x = 1,880,205,566.40/49,016.70
  6. Step 6: Final answer
    x = 38,358.47

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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.