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Finding the Fourth Proportional to 68,201.49, 102,301.83 and 26,071.77

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Solution

The fourth proportional to 68,201.49, 102,301.83 and 26,071.77 is: 39,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,201.49 : 102,301.83 = 26,071.77 : x
  2. Step 2: Convert to fraction form
    68,201.49/102,301.83 = 26,071.77/x
  3. Step 3: Cross multiply
    68,201.49x = 102,301.83 × 26,071.77
  4. Step 4: Simplify right side
    68,201.49x = 2,667,189,782.34
  5. Step 5: Solve for x
    x = 2,667,189,782.34/68,201.49
  6. Step 6: Final answer
    x = 39,107.50

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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.