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Finding the Fourth Proportional to 47,674.50, 65,790.75 and 26,164.38

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Solution

The fourth proportional to 47,674.50, 65,790.75 and 26,164.38 is: 36,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674.50 : 65,790.75 = 26,164.38 : x
  2. Step 2: Convert to fraction form
    47,674.50/65,790.75 = 26,164.38/x
  3. Step 3: Cross multiply
    47,674.50x = 65,790.75 × 26,164.38
  4. Step 4: Simplify right side
    47,674.50x = 1,721,374,183.49
  5. Step 5: Solve for x
    x = 1,721,374,183.49/47,674.50
  6. Step 6: Final answer
    x = 36,106.81

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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.