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Finding the Fourth Proportional to 36,652.70, 50,536.40 and 30,977.44

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Solution

The fourth proportional to 36,652.70, 50,536.40 and 30,977.44 is: 42,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,652.70 : 50,536.40 = 30,977.44 : x
  2. Step 2: Convert to fraction form
    36,652.70/50,536.40 = 30,977.44/x
  3. Step 3: Cross multiply
    36,652.70x = 50,536.40 × 30,977.44
  4. Step 4: Simplify right side
    36,652.70x = 1,565,488,017.59
  5. Step 5: Solve for x
    x = 1,565,488,017.59/36,652.70
  6. Step 6: Final answer
    x = 42,711.39

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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.