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Finding the Fourth Proportional to 54,234.76, 81,127.50 and 50,917

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Solution

The fourth proportional to 54,234.76, 81,127.50 and 50,917 is: 76,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.76 : 81,127.50 = 50,917 : x
  2. Step 2: Convert to fraction form
    54,234.76/81,127.50 = 50,917/x
  3. Step 3: Cross multiply
    54,234.76x = 81,127.50 × 50,917
  4. Step 4: Simplify right side
    54,234.76x = 4,130,768,917.50
  5. Step 5: Solve for x
    x = 4,130,768,917.50/54,234.76
  6. Step 6: Final answer
    x = 76,164.60

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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.