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Finding the Fourth Proportional to 82,024, 113,160.72 and 51,798.04

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Solution

The fourth proportional to 82,024, 113,160.72 and 51,798.04 is: 71,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024 : 113,160.72 = 51,798.04 : x
  2. Step 2: Convert to fraction form
    82,024/113,160.72 = 51,798.04/x
  3. Step 3: Cross multiply
    82,024x = 113,160.72 × 51,798.04
  4. Step 4: Simplify right side
    82,024x = 5,861,503,500.99
  5. Step 5: Solve for x
    x = 5,861,503,500.99/82,024
  6. Step 6: Final answer
    x = 71,460.83

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