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Finding the Fourth Proportional to 36,761.44, 55,132.32 and 15,980

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Solution

The fourth proportional to 36,761.44, 55,132.32 and 15,980 is: 23,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,761.44 : 55,132.32 = 15,980 : x
  2. Step 2: Convert to fraction form
    36,761.44/55,132.32 = 15,980/x
  3. Step 3: Cross multiply
    36,761.44x = 55,132.32 × 15,980
  4. Step 4: Simplify right side
    36,761.44x = 881,014,473.60
  5. Step 5: Solve for x
    x = 881,014,473.60/36,761.44
  6. Step 6: Final answer
    x = 23,965.72

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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.