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Finding the Fourth Proportional to 72,715.93, 109,101.84 and 25,336.09

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Solution

The fourth proportional to 72,715.93, 109,101.84 and 25,336.09 is: 38,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,715.93 : 109,101.84 = 25,336.09 : x
  2. Step 2: Convert to fraction form
    72,715.93/109,101.84 = 25,336.09/x
  3. Step 3: Cross multiply
    72,715.93x = 109,101.84 × 25,336.09
  4. Step 4: Simplify right side
    72,715.93x = 2,764,214,078.77
  5. Step 5: Solve for x
    x = 2,764,214,078.77/72,715.93
  6. Step 6: Final answer
    x = 38,013.87

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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.