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Finding the Fourth Proportional to 49,086.50, 67,735.37 and 27,575.07

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Solution

The fourth proportional to 49,086.50, 67,735.37 and 27,575.07 is: 38,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086.50 : 67,735.37 = 27,575.07 : x
  2. Step 2: Convert to fraction form
    49,086.50/67,735.37 = 27,575.07/x
  3. Step 3: Cross multiply
    49,086.50x = 67,735.37 × 27,575.07
  4. Step 4: Simplify right side
    49,086.50x = 1,867,807,500.29
  5. Step 5: Solve for x
    x = 1,867,807,500.29/49,086.50
  6. Step 6: Final answer
    x = 38,051.35

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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.