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Finding the Fourth Proportional to 80,498.80, 120,742.80 and 21,333.20

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Solution

The fourth proportional to 80,498.80, 120,742.80 and 21,333.20 is: 31,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,498.80 : 120,742.80 = 21,333.20 : x
  2. Step 2: Convert to fraction form
    80,498.80/120,742.80 = 21,333.20/x
  3. Step 3: Cross multiply
    80,498.80x = 120,742.80 × 21,333.20
  4. Step 4: Simplify right side
    80,498.80x = 2,575,830,300.96
  5. Step 5: Solve for x
    x = 2,575,830,300.96/80,498.80
  6. Step 6: Final answer
    x = 31,998.37

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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.