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Finding the Fourth Proportional to 72,176.80, 108,265.20 and 19,586.20

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Solution

The fourth proportional to 72,176.80, 108,265.20 and 19,586.20 is: 29,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176.80 : 108,265.20 = 19,586.20 : x
  2. Step 2: Convert to fraction form
    72,176.80/108,265.20 = 19,586.20/x
  3. Step 3: Cross multiply
    72,176.80x = 108,265.20 × 19,586.20
  4. Step 4: Simplify right side
    72,176.80x = 2,120,503,860.24
  5. Step 5: Solve for x
    x = 2,120,503,860.24/72,176.80
  6. Step 6: Final answer
    x = 29,379.30

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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.