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Finding the Fourth Proportional to 54,684.75, 82,027.14 and 17,748.75

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Solution

The fourth proportional to 54,684.75, 82,027.14 and 17,748.75 is: 26,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.75 : 82,027.14 = 17,748.75 : x
  2. Step 2: Convert to fraction form
    54,684.75/82,027.14 = 17,748.75/x
  3. Step 3: Cross multiply
    54,684.75x = 82,027.14 × 17,748.75
  4. Step 4: Simplify right side
    54,684.75x = 1,455,879,201.08
  5. Step 5: Solve for x
    x = 1,455,879,201.08/54,684.75
  6. Step 6: Final answer
    x = 26,623.13

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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.