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Finding the Fourth Proportional to 72,932.67, 109,398.96 and 23,684.67

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Solution

The fourth proportional to 72,932.67, 109,398.96 and 23,684.67 is: 35,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932.67 : 109,398.96 = 23,684.67 : x
  2. Step 2: Convert to fraction form
    72,932.67/109,398.96 = 23,684.67/x
  3. Step 3: Cross multiply
    72,932.67x = 109,398.96 × 23,684.67
  4. Step 4: Simplify right side
    72,932.67x = 2,591,078,265.94
  5. Step 5: Solve for x
    x = 2,591,078,265.94/72,932.67
  6. Step 6: Final answer
    x = 35,526.99

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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.