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Finding the Fourth Proportional to 57,415.02, 86,042.34 and 27,825

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Solution

The fourth proportional to 57,415.02, 86,042.34 and 27,825 is: 41,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415.02 : 86,042.34 = 27,825 : x
  2. Step 2: Convert to fraction form
    57,415.02/86,042.34 = 27,825/x
  3. Step 3: Cross multiply
    57,415.02x = 86,042.34 × 27,825
  4. Step 4: Simplify right side
    57,415.02x = 2,394,128,110.50
  5. Step 5: Solve for x
    x = 2,394,128,110.50/57,415.02
  6. Step 6: Final answer
    x = 41,698.64

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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.