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Finding the Fourth Proportional to 54,693, 82,041.24 and 17,253.42

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Solution

The fourth proportional to 54,693, 82,041.24 and 17,253.42 is: 25,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693 : 82,041.24 = 17,253.42 : x
  2. Step 2: Convert to fraction form
    54,693/82,041.24 = 17,253.42/x
  3. Step 3: Cross multiply
    54,693x = 82,041.24 × 17,253.42
  4. Step 4: Simplify right side
    54,693x = 1,415,491,971.04
  5. Step 5: Solve for x
    x = 1,415,491,971.04/54,693
  6. Step 6: Final answer
    x = 25,880.68

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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.