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Finding the Fourth Proportional to 82,919, 114,431.31 and 47,115.08

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Solution

The fourth proportional to 82,919, 114,431.31 and 47,115.08 is: 65,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,919 : 114,431.31 = 47,115.08 : x
  2. Step 2: Convert to fraction form
    82,919/114,431.31 = 47,115.08/x
  3. Step 3: Cross multiply
    82,919x = 114,431.31 × 47,115.08
  4. Step 4: Simplify right side
    82,919x = 5,391,440,325.15
  5. Step 5: Solve for x
    x = 5,391,440,325.15/82,919
  6. Step 6: Final answer
    x = 65,020.57

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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.