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Finding the Fourth Proportional to 67,891.38, 101,835.95 and 27,902.26

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Solution

The fourth proportional to 67,891.38, 101,835.95 and 27,902.26 is: 41,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,891.38 : 101,835.95 = 27,902.26 : x
  2. Step 2: Convert to fraction form
    67,891.38/101,835.95 = 27,902.26/x
  3. Step 3: Cross multiply
    67,891.38x = 101,835.95 × 27,902.26
  4. Step 4: Simplify right side
    67,891.38x = 2,841,453,154.25
  5. Step 5: Solve for x
    x = 2,841,453,154.25/67,891.38
  6. Step 6: Final answer
    x = 41,852.93

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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.