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Finding the Fourth Proportional to 54,095.88, 81,143.82 and 17,157

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Solution

The fourth proportional to 54,095.88, 81,143.82 and 17,157 is: 25,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,095.88 : 81,143.82 = 17,157 : x
  2. Step 2: Convert to fraction form
    54,095.88/81,143.82 = 17,157/x
  3. Step 3: Cross multiply
    54,095.88x = 81,143.82 × 17,157
  4. Step 4: Simplify right side
    54,095.88x = 1,392,184,519.74
  5. Step 5: Solve for x
    x = 1,392,184,519.74/54,095.88
  6. Step 6: Final answer
    x = 25,735.50

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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.