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Finding the Fourth Proportional to 82,594.70, 123,896.75 and 23,425.69

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Solution

The fourth proportional to 82,594.70, 123,896.75 and 23,425.69 is: 35,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.70 : 123,896.75 = 23,425.69 : x
  2. Step 2: Convert to fraction form
    82,594.70/123,896.75 = 23,425.69/x
  3. Step 3: Cross multiply
    82,594.70x = 123,896.75 × 23,425.69
  4. Step 4: Simplify right side
    82,594.70x = 2,902,366,857.51
  5. Step 5: Solve for x
    x = 2,902,366,857.51/82,594.70
  6. Step 6: Final answer
    x = 35,139.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.