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Finding the Fourth Proportional to 82,991.82, 114,528.16 and 47,181.84

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Solution

The fourth proportional to 82,991.82, 114,528.16 and 47,181.84 is: 65,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.82 : 114,528.16 = 47,181.84 : x
  2. Step 2: Convert to fraction form
    82,991.82/114,528.16 = 47,181.84/x
  3. Step 3: Cross multiply
    82,991.82x = 114,528.16 × 47,181.84
  4. Step 4: Simplify right side
    82,991.82x = 5,403,649,320.61
  5. Step 5: Solve for x
    x = 5,403,649,320.61/82,991.82
  6. Step 6: Final answer
    x = 65,110.63

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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.