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Finding the Fourth Proportional to 52,189, 72,020.82 and 29,833.48

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Solution

The fourth proportional to 52,189, 72,020.82 and 29,833.48 is: 41,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,189 : 72,020.82 = 29,833.48 : x
  2. Step 2: Convert to fraction form
    52,189/72,020.82 = 29,833.48/x
  3. Step 3: Cross multiply
    52,189x = 72,020.82 × 29,833.48
  4. Step 4: Simplify right side
    52,189x = 2,148,631,693.05
  5. Step 5: Solve for x
    x = 2,148,631,693.05/52,189
  6. Step 6: Final answer
    x = 41,170.20

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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.