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Finding the Fourth Proportional to 54,950.81, 82,426.01 and 19,882.26

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Solution

The fourth proportional to 54,950.81, 82,426.01 and 19,882.26 is: 29,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.81 : 82,426.01 = 19,882.26 : x
  2. Step 2: Convert to fraction form
    54,950.81/82,426.01 = 19,882.26/x
  3. Step 3: Cross multiply
    54,950.81x = 82,426.01 × 19,882.26
  4. Step 4: Simplify right side
    54,950.81x = 1,638,815,262.17
  5. Step 5: Solve for x
    x = 1,638,815,262.17/54,950.81
  6. Step 6: Final answer
    x = 29,823.32

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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.