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Finding the Fourth Proportional to 36,437.38, 50,305.45 and 23,884

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Solution

The fourth proportional to 36,437.38, 50,305.45 and 23,884 is: 32,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,437.38 : 50,305.45 = 23,884 : x
  2. Step 2: Convert to fraction form
    36,437.38/50,305.45 = 23,884/x
  3. Step 3: Cross multiply
    36,437.38x = 50,305.45 × 23,884
  4. Step 4: Simplify right side
    36,437.38x = 1,201,495,367.80
  5. Step 5: Solve for x
    x = 1,201,495,367.80/36,437.38
  6. Step 6: Final answer
    x = 32,974.25

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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.