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Finding the Fourth Proportional to 71,935.24, 107,903.86 and 27,564.24

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Solution

The fourth proportional to 71,935.24, 107,903.86 and 27,564.24 is: 41,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,935.24 : 107,903.86 = 27,564.24 : x
  2. Step 2: Convert to fraction form
    71,935.24/107,903.86 = 27,564.24/x
  3. Step 3: Cross multiply
    71,935.24x = 107,903.86 × 27,564.24
  4. Step 4: Simplify right side
    71,935.24x = 2,974,287,893.97
  5. Step 5: Solve for x
    x = 2,974,287,893.97/71,935.24
  6. Step 6: Final answer
    x = 41,346.74

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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.