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Finding the Fourth Proportional to 80,471.36, 120,693.12 and 21,307.88

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Solution

The fourth proportional to 80,471.36, 120,693.12 and 21,307.88 is: 31,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.36 : 120,693.12 = 21,307.88 : x
  2. Step 2: Convert to fraction form
    80,471.36/120,693.12 = 21,307.88/x
  3. Step 3: Cross multiply
    80,471.36x = 120,693.12 × 21,307.88
  4. Step 4: Simplify right side
    80,471.36x = 2,571,714,517.79
  5. Step 5: Solve for x
    x = 2,571,714,517.79/80,471.36
  6. Step 6: Final answer
    x = 31,958.13

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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.