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Finding the Fourth Proportional to 82,017, 113,151.06 and 51,791.04

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Solution

The fourth proportional to 82,017, 113,151.06 and 51,791.04 is: 71,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017 : 113,151.06 = 51,791.04 : x
  2. Step 2: Convert to fraction form
    82,017/113,151.06 = 51,791.04/x
  3. Step 3: Cross multiply
    82,017x = 113,151.06 × 51,791.04
  4. Step 4: Simplify right side
    82,017x = 5,860,211,074.50
  5. Step 5: Solve for x
    x = 5,860,211,074.50/82,017
  6. Step 6: Final answer
    x = 71,451.18

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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.