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Finding the Fourth Proportional to 82,846.38, 114,323.94 and 47,031.69

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Solution

The fourth proportional to 82,846.38, 114,323.94 and 47,031.69 is: 64,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846.38 : 114,323.94 = 47,031.69 : x
  2. Step 2: Convert to fraction form
    82,846.38/114,323.94 = 47,031.69/x
  3. Step 3: Cross multiply
    82,846.38x = 114,323.94 × 47,031.69
  4. Step 4: Simplify right side
    82,846.38x = 5,376,848,105.66
  5. Step 5: Solve for x
    x = 5,376,848,105.66/82,846.38
  6. Step 6: Final answer
    x = 64,901.42

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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.