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Finding the Fourth Proportional to 36,169.38, 49,919.64 and 24,829.46

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Solution

The fourth proportional to 36,169.38, 49,919.64 and 24,829.46 is: 34,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169.38 : 49,919.64 = 24,829.46 : x
  2. Step 2: Convert to fraction form
    36,169.38/49,919.64 = 24,829.46/x
  3. Step 3: Cross multiply
    36,169.38x = 49,919.64 × 24,829.46
  4. Step 4: Simplify right side
    36,169.38x = 1,239,477,704.59
  5. Step 5: Solve for x
    x = 1,239,477,704.59/36,169.38
  6. Step 6: Final answer
    x = 34,268.70

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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.