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Finding the Fourth Proportional to 82,649.96, 123,982.68 and 26,491.76

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Solution

The fourth proportional to 82,649.96, 123,982.68 and 26,491.76 is: 39,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,649.96 : 123,982.68 = 26,491.76 : x
  2. Step 2: Convert to fraction form
    82,649.96/123,982.68 = 26,491.76/x
  3. Step 3: Cross multiply
    82,649.96x = 123,982.68 × 26,491.76
  4. Step 4: Simplify right side
    82,649.96x = 3,284,519,402.72
  5. Step 5: Solve for x
    x = 3,284,519,402.72/82,649.96
  6. Step 6: Final answer
    x = 39,740.12

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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.