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Finding the Fourth Proportional to 54,950.81, 82,477.24 and 21,693.83

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Solution

The fourth proportional to 54,950.81, 82,477.24 and 21,693.83 is: 32,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.81 : 82,477.24 = 21,693.83 : x
  2. Step 2: Convert to fraction form
    54,950.81/82,477.24 = 21,693.83/x
  3. Step 3: Cross multiply
    54,950.81x = 82,477.24 × 21,693.83
  4. Step 4: Simplify right side
    54,950.81x = 1,789,246,756.81
  5. Step 5: Solve for x
    x = 1,789,246,756.81/54,950.81
  6. Step 6: Final answer
    x = 32,560.88

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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.