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Finding the Fourth Proportional to 52,080.36, 71,878.08 and 31,933.68

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Solution

The fourth proportional to 52,080.36, 71,878.08 and 31,933.68 is: 44,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.36 : 71,878.08 = 31,933.68 : x
  2. Step 2: Convert to fraction form
    52,080.36/71,878.08 = 31,933.68/x
  3. Step 3: Cross multiply
    52,080.36x = 71,878.08 × 31,933.68
  4. Step 4: Simplify right side
    52,080.36x = 2,295,331,605.73
  5. Step 5: Solve for x
    x = 2,295,331,605.73/52,080.36
  6. Step 6: Final answer
    x = 44,072.88

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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.