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Finding the Fourth Proportional to 57,169.83, 85,708.94 and 27,169.01

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Solution

The fourth proportional to 57,169.83, 85,708.94 and 27,169.01 is: 40,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.83 : 85,708.94 = 27,169.01 : x
  2. Step 2: Convert to fraction form
    57,169.83/85,708.94 = 27,169.01/x
  3. Step 3: Cross multiply
    57,169.83x = 85,708.94 × 27,169.01
  4. Step 4: Simplify right side
    57,169.83x = 2,328,626,619.40
  5. Step 5: Solve for x
    x = 2,328,626,619.40/57,169.83
  6. Step 6: Final answer
    x = 40,731.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.