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Finding the Fourth Proportional to 82,819.38, 114,293.19 and 45,096.06

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Solution

The fourth proportional to 82,819.38, 114,293.19 and 45,096.06 is: 62,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,819.38 : 114,293.19 = 45,096.06 : x
  2. Step 2: Convert to fraction form
    82,819.38/114,293.19 = 45,096.06/x
  3. Step 3: Cross multiply
    82,819.38x = 114,293.19 × 45,096.06
  4. Step 4: Simplify right side
    82,819.38x = 5,154,172,553.83
  5. Step 5: Solve for x
    x = 5,154,172,553.83/82,819.38
  6. Step 6: Final answer
    x = 62,233.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.