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Finding the Fourth Proportional to 83,986.86, 115,902.18 and 46,261.02

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Solution

The fourth proportional to 83,986.86, 115,902.18 and 46,261.02 is: 63,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,986.86 : 115,902.18 = 46,261.02 : x
  2. Step 2: Convert to fraction form
    83,986.86/115,902.18 = 46,261.02/x
  3. Step 3: Cross multiply
    83,986.86x = 115,902.18 × 46,261.02
  4. Step 4: Simplify right side
    83,986.86x = 5,361,753,067.02
  5. Step 5: Solve for x
    x = 5,361,753,067.02/83,986.86
  6. Step 6: Final answer
    x = 63,840.38

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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.