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Finding the Fourth Proportional to 54,798.03, 82,147.68 and 19,713

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Solution

The fourth proportional to 54,798.03, 82,147.68 and 19,713 is: 29,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.03 : 82,147.68 = 19,713 : x
  2. Step 2: Convert to fraction form
    54,798.03/82,147.68 = 19,713/x
  3. Step 3: Cross multiply
    54,798.03x = 82,147.68 × 19,713
  4. Step 4: Simplify right side
    54,798.03x = 1,619,377,215.84
  5. Step 5: Solve for x
    x = 1,619,377,215.84/54,798.03
  6. Step 6: Final answer
    x = 29,551.74

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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.