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Finding the Fourth Proportional to 83,992, 115,909.32 and 46,265.44

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Solution

The fourth proportional to 83,992, 115,909.32 and 46,265.44 is: 63,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992 : 115,909.32 = 46,265.44 : x
  2. Step 2: Convert to fraction form
    83,992/115,909.32 = 46,265.44/x
  3. Step 3: Cross multiply
    83,992x = 115,909.32 × 46,265.44
  4. Step 4: Simplify right side
    83,992x = 5,362,595,689.90
  5. Step 5: Solve for x
    x = 5,362,595,689.90/83,992
  6. Step 6: Final answer
    x = 63,846.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.