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Finding the Fourth Proportional to 72,467.60, 108,712.20 and 25,716.56

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Solution

The fourth proportional to 72,467.60, 108,712.20 and 25,716.56 is: 38,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467.60 : 108,712.20 = 25,716.56 : x
  2. Step 2: Convert to fraction form
    72,467.60/108,712.20 = 25,716.56/x
  3. Step 3: Cross multiply
    72,467.60x = 108,712.20 × 25,716.56
  4. Step 4: Simplify right side
    72,467.60x = 2,795,703,814.03
  5. Step 5: Solve for x
    x = 2,795,703,814.03/72,467.60
  6. Step 6: Final answer
    x = 38,578.67

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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.