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Finding the Fourth Proportional to 54,702.75, 82,054.11 and 17,266.58

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Solution

The fourth proportional to 54,702.75, 82,054.11 and 17,266.58 is: 25,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.75 : 82,054.11 = 17,266.58 : x
  2. Step 2: Convert to fraction form
    54,702.75/82,054.11 = 17,266.58/x
  3. Step 3: Cross multiply
    54,702.75x = 82,054.11 × 17,266.58
  4. Step 4: Simplify right side
    54,702.75x = 1,416,793,444.37
  5. Step 5: Solve for x
    x = 1,416,793,444.37/54,702.75
  6. Step 6: Final answer
    x = 25,899.86

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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.