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Finding the Fourth Proportional to 54,726.56, 82,089.88 and 13,173.56

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Solution

The fourth proportional to 54,726.56, 82,089.88 and 13,173.56 is: 19,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726.56 : 82,089.88 = 13,173.56 : x
  2. Step 2: Convert to fraction form
    54,726.56/82,089.88 = 13,173.56/x
  3. Step 3: Cross multiply
    54,726.56x = 82,089.88 × 13,173.56
  4. Step 4: Simplify right side
    54,726.56x = 1,081,415,959.57
  5. Step 5: Solve for x
    x = 1,081,415,959.57/54,726.56
  6. Step 6: Final answer
    x = 19,760.35

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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.