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Finding the Fourth Proportional to 82,611, 113,951.16 and 65,883.96

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Solution

The fourth proportional to 82,611, 113,951.16 and 65,883.96 is: 90,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,611 : 113,951.16 = 65,883.96 : x
  2. Step 2: Convert to fraction form
    82,611/113,951.16 = 65,883.96/x
  3. Step 3: Cross multiply
    82,611x = 113,951.16 × 65,883.96
  4. Step 4: Simplify right side
    82,611x = 7,507,553,667.39
  5. Step 5: Solve for x
    x = 7,507,553,667.39/82,611
  6. Step 6: Final answer
    x = 90,878.38

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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.