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Finding the Fourth Proportional to 54,665.76, 81,968.16 and 34,932

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Solution

The fourth proportional to 54,665.76, 81,968.16 and 34,932 is: 52,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,665.76 : 81,968.16 = 34,932 : x
  2. Step 2: Convert to fraction form
    54,665.76/81,968.16 = 34,932/x
  3. Step 3: Cross multiply
    54,665.76x = 81,968.16 × 34,932
  4. Step 4: Simplify right side
    54,665.76x = 2,863,311,765.12
  5. Step 5: Solve for x
    x = 2,863,311,765.12/54,665.76
  6. Step 6: Final answer
    x = 52,378.52

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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.