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Finding the Fourth Proportional to 51,108.15, 76,656.83 and 13,672

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Solution

The fourth proportional to 51,108.15, 76,656.83 and 13,672 is: 20,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108.15 : 76,656.83 = 13,672 : x
  2. Step 2: Convert to fraction form
    51,108.15/76,656.83 = 13,672/x
  3. Step 3: Cross multiply
    51,108.15x = 76,656.83 × 13,672
  4. Step 4: Simplify right side
    51,108.15x = 1,048,052,179.76
  5. Step 5: Solve for x
    x = 1,048,052,179.76/51,108.15
  6. Step 6: Final answer
    x = 20,506.56

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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.