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Finding the Fourth Proportional to 82,453.92, 123,679.44 and 76,032.96

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Solution

The fourth proportional to 82,453.92, 123,679.44 and 76,032.96 is: 114,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453.92 : 123,679.44 = 76,032.96 : x
  2. Step 2: Convert to fraction form
    82,453.92/123,679.44 = 76,032.96/x
  3. Step 3: Cross multiply
    82,453.92x = 123,679.44 × 76,032.96
  4. Step 4: Simplify right side
    82,453.92x = 9,403,713,914.34
  5. Step 5: Solve for x
    x = 9,403,713,914.34/82,453.92
  6. Step 6: Final answer
    x = 114,048.11

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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.