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Finding the Fourth Proportional to 81,651.83, 122,459.10 and 22,492.67

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Solution

The fourth proportional to 81,651.83, 122,459.10 and 22,492.67 is: 33,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.83 : 122,459.10 = 22,492.67 : x
  2. Step 2: Convert to fraction form
    81,651.83/122,459.10 = 22,492.67/x
  3. Step 3: Cross multiply
    81,651.83x = 122,459.10 × 22,492.67
  4. Step 4: Simplify right side
    81,651.83x = 2,754,432,124.80
  5. Step 5: Solve for x
    x = 2,754,432,124.80/81,651.83
  6. Step 6: Final answer
    x = 33,733.87

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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.