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Finding the Fourth Proportional to 71,656.94, 107,486.48 and 27,286.16

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Solution

The fourth proportional to 71,656.94, 107,486.48 and 27,286.16 is: 40,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.94 : 107,486.48 = 27,286.16 : x
  2. Step 2: Convert to fraction form
    71,656.94/107,486.48 = 27,286.16/x
  3. Step 3: Cross multiply
    71,656.94x = 107,486.48 × 27,286.16
  4. Step 4: Simplify right side
    71,656.94x = 2,932,892,821.90
  5. Step 5: Solve for x
    x = 2,932,892,821.90/71,656.94
  6. Step 6: Final answer
    x = 40,929.64

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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.