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Finding the Fourth Proportional to 82,906.62, 114,295.29 and 70,108.46

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Solution

The fourth proportional to 82,906.62, 114,295.29 and 70,108.46 is: 96,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.62 : 114,295.29 = 70,108.46 : x
  2. Step 2: Convert to fraction form
    82,906.62/114,295.29 = 70,108.46/x
  3. Step 3: Cross multiply
    82,906.62x = 114,295.29 × 70,108.46
  4. Step 4: Simplify right side
    82,906.62x = 8,013,066,361.38
  5. Step 5: Solve for x
    x = 8,013,066,361.38/82,906.62
  6. Step 6: Final answer
    x = 96,651.71

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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.