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Finding the Fourth Proportional to 80,882.82, 121,387.68 and 56,096.82

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Solution

The fourth proportional to 80,882.82, 121,387.68 and 56,096.82 is: 84,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,882.82 : 121,387.68 = 56,096.82 : x
  2. Step 2: Convert to fraction form
    80,882.82/121,387.68 = 56,096.82/x
  3. Step 3: Cross multiply
    80,882.82x = 121,387.68 × 56,096.82
  4. Step 4: Simplify right side
    80,882.82x = 6,809,462,835.18
  5. Step 5: Solve for x
    x = 6,809,462,835.18/80,882.82
  6. Step 6: Final answer
    x = 84,189.24

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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.