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Finding the Fourth Proportional to 36,638.60, 50,542.16 and 23,186.70

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Solution

The fourth proportional to 36,638.60, 50,542.16 and 23,186.70 is: 31,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,638.60 : 50,542.16 = 23,186.70 : x
  2. Step 2: Convert to fraction form
    36,638.60/50,542.16 = 23,186.70/x
  3. Step 3: Cross multiply
    36,638.60x = 50,542.16 × 23,186.70
  4. Step 4: Simplify right side
    36,638.60x = 1,171,905,785.34
  5. Step 5: Solve for x
    x = 1,171,905,785.34/36,638.60
  6. Step 6: Final answer
    x = 31,985.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.