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Finding the Fourth Proportional to 52,112.70, 71,914.68 and 28,238.94

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Solution

The fourth proportional to 52,112.70, 71,914.68 and 28,238.94 is: 38,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.70 : 71,914.68 = 28,238.94 : x
  2. Step 2: Convert to fraction form
    52,112.70/71,914.68 = 28,238.94/x
  3. Step 3: Cross multiply
    52,112.70x = 71,914.68 × 28,238.94
  4. Step 4: Simplify right side
    52,112.70x = 2,030,794,333.64
  5. Step 5: Solve for x
    x = 2,030,794,333.64/52,112.70
  6. Step 6: Final answer
    x = 38,969.28

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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.