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Finding the Fourth Proportional to 81,672.98, 122,498.30 and 22,500.14

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Solution

The fourth proportional to 81,672.98, 122,498.30 and 22,500.14 is: 33,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672.98 : 122,498.30 = 22,500.14 : x
  2. Step 2: Convert to fraction form
    81,672.98/122,498.30 = 22,500.14/x
  3. Step 3: Cross multiply
    81,672.98x = 122,498.30 × 22,500.14
  4. Step 4: Simplify right side
    81,672.98x = 2,756,228,899.76
  5. Step 5: Solve for x
    x = 2,756,228,899.76/81,672.98
  6. Step 6: Final answer
    x = 33,747.13

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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.