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Finding the Fourth Proportional to 54,384, 81,576 and 19,325.04

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Solution

The fourth proportional to 54,384, 81,576 and 19,325.04 is: 28,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,384 : 81,576 = 19,325.04 : x
  2. Step 2: Convert to fraction form
    54,384/81,576 = 19,325.04/x
  3. Step 3: Cross multiply
    54,384x = 81,576 × 19,325.04
  4. Step 4: Simplify right side
    54,384x = 1,576,459,463.04
  5. Step 5: Solve for x
    x = 1,576,459,463.04/54,384
  6. Step 6: Final answer
    x = 28,987.56

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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.