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Finding the Fourth Proportional to 82,491.92, 123,730.84 and 26,329.76

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Solution

The fourth proportional to 82,491.92, 123,730.84 and 26,329.76 is: 39,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.92 : 123,730.84 = 26,329.76 : x
  2. Step 2: Convert to fraction form
    82,491.92/123,730.84 = 26,329.76/x
  3. Step 3: Cross multiply
    82,491.92x = 123,730.84 × 26,329.76
  4. Step 4: Simplify right side
    82,491.92x = 3,257,803,321.80
  5. Step 5: Solve for x
    x = 3,257,803,321.80/82,491.92
  6. Step 6: Final answer
    x = 39,492.39

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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.