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Finding the Fourth Proportional to 54,494.46, 81,731.39 and 17,048.90

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Solution

The fourth proportional to 54,494.46, 81,731.39 and 17,048.90 is: 25,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494.46 : 81,731.39 = 17,048.90 : x
  2. Step 2: Convert to fraction form
    54,494.46/81,731.39 = 17,048.90/x
  3. Step 3: Cross multiply
    54,494.46x = 81,731.39 × 17,048.90
  4. Step 4: Simplify right side
    54,494.46x = 1,393,429,801.07
  5. Step 5: Solve for x
    x = 1,393,429,801.07/54,494.46
  6. Step 6: Final answer
    x = 25,570.12

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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.