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Finding the Fourth Proportional to 84,839.90, 117,025.26 and 52,120

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Solution

The fourth proportional to 84,839.90, 117,025.26 and 52,120 is: 71,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,839.90 : 117,025.26 = 52,120 : x
  2. Step 2: Convert to fraction form
    84,839.90/117,025.26 = 52,120/x
  3. Step 3: Cross multiply
    84,839.90x = 117,025.26 × 52,120
  4. Step 4: Simplify right side
    84,839.90x = 6,099,356,551.20
  5. Step 5: Solve for x
    x = 6,099,356,551.20/84,839.90
  6. Step 6: Final answer
    x = 71,892.55

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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.