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Finding the Fourth Proportional to 52,052.57, 71,828.21 and 30,540.07

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Solution

The fourth proportional to 52,052.57, 71,828.21 and 30,540.07 is: 42,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.57 : 71,828.21 = 30,540.07 : x
  2. Step 2: Convert to fraction form
    52,052.57/71,828.21 = 30,540.07/x
  3. Step 3: Cross multiply
    52,052.57x = 71,828.21 × 30,540.07
  4. Step 4: Simplify right side
    52,052.57x = 2,193,638,458.15
  5. Step 5: Solve for x
    x = 2,193,638,458.15/52,052.57
  6. Step 6: Final answer
    x = 42,142.75

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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.