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Finding the Fourth Proportional to 54,746.52, 82,119.60 and 13,193.52

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Solution

The fourth proportional to 54,746.52, 82,119.60 and 13,193.52 is: 19,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746.52 : 82,119.60 = 13,193.52 : x
  2. Step 2: Convert to fraction form
    54,746.52/82,119.60 = 13,193.52/x
  3. Step 3: Cross multiply
    54,746.52x = 82,119.60 × 13,193.52
  4. Step 4: Simplify right side
    54,746.52x = 1,083,446,584.99
  5. Step 5: Solve for x
    x = 1,083,446,584.99/54,746.52
  6. Step 6: Final answer
    x = 19,790.24

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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.