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Finding the Fourth Proportional to 82,820.73, 114,318.41 and 47,034.57

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Solution

The fourth proportional to 82,820.73, 114,318.41 and 47,034.57 is: 64,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820.73 : 114,318.41 = 47,034.57 : x
  2. Step 2: Convert to fraction form
    82,820.73/114,318.41 = 47,034.57/x
  3. Step 3: Cross multiply
    82,820.73x = 114,318.41 × 47,034.57
  4. Step 4: Simplify right side
    82,820.73x = 5,376,917,022.26
  5. Step 5: Solve for x
    x = 5,376,917,022.26/82,820.73
  6. Step 6: Final answer
    x = 64,922.36

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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.