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Finding the Fourth Proportional to 75,791.94, 113,690.91 and 28,402.08

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Solution

The fourth proportional to 75,791.94, 113,690.91 and 28,402.08 is: 42,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,791.94 : 113,690.91 = 28,402.08 : x
  2. Step 2: Convert to fraction form
    75,791.94/113,690.91 = 28,402.08/x
  3. Step 3: Cross multiply
    75,791.94x = 113,690.91 × 28,402.08
  4. Step 4: Simplify right side
    75,791.94x = 3,229,058,321.09
  5. Step 5: Solve for x
    x = 3,229,058,321.09/75,791.94
  6. Step 6: Final answer
    x = 42,604.24

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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.