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Finding the Fourth Proportional to 53,380.66, 80,020.50 and 23,782.18

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Solution

The fourth proportional to 53,380.66, 80,020.50 and 23,782.18 is: 35,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,380.66 : 80,020.50 = 23,782.18 : x
  2. Step 2: Convert to fraction form
    53,380.66/80,020.50 = 23,782.18/x
  3. Step 3: Cross multiply
    53,380.66x = 80,020.50 × 23,782.18
  4. Step 4: Simplify right side
    53,380.66x = 1,903,061,934.69
  5. Step 5: Solve for x
    x = 1,903,061,934.69/53,380.66
  6. Step 6: Final answer
    x = 35,650.78

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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.