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Finding the Fourth Proportional to 49,059.36, 67,704 and 27,840.60

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Solution

The fourth proportional to 49,059.36, 67,704 and 27,840.60 is: 38,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,059.36 : 67,704 = 27,840.60 : x
  2. Step 2: Convert to fraction form
    49,059.36/67,704 = 27,840.60/x
  3. Step 3: Cross multiply
    49,059.36x = 67,704 × 27,840.60
  4. Step 4: Simplify right side
    49,059.36x = 1,884,919,982.40
  5. Step 5: Solve for x
    x = 1,884,919,982.40/49,059.36
  6. Step 6: Final answer
    x = 38,421.21

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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.