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Finding the Fourth Proportional to 83,857.96, 125,728.62 and 31,253.32

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Solution

The fourth proportional to 83,857.96, 125,728.62 and 31,253.32 is: 46,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.96 : 125,728.62 = 31,253.32 : x
  2. Step 2: Convert to fraction form
    83,857.96/125,728.62 = 31,253.32/x
  3. Step 3: Cross multiply
    83,857.96x = 125,728.62 × 31,253.32
  4. Step 4: Simplify right side
    83,857.96x = 3,929,436,794.02
  5. Step 5: Solve for x
    x = 3,929,436,794.02/83,857.96
  6. Step 6: Final answer
    x = 46,858.24

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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.