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Finding the Fourth Proportional to 36,430.36, 54,634.74 and 15,649

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Solution

The fourth proportional to 36,430.36, 54,634.74 and 15,649 is: 23,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,430.36 : 54,634.74 = 15,649 : x
  2. Step 2: Convert to fraction form
    36,430.36/54,634.74 = 15,649/x
  3. Step 3: Cross multiply
    36,430.36x = 54,634.74 × 15,649
  4. Step 4: Simplify right side
    36,430.36x = 854,979,046.26
  5. Step 5: Solve for x
    x = 854,979,046.26/36,430.36
  6. Step 6: Final answer
    x = 23,468.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.