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Finding the Fourth Proportional to 52,180.25, 72,008.75 and 29,824.73

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Solution

The fourth proportional to 52,180.25, 72,008.75 and 29,824.73 is: 41,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180.25 : 72,008.75 = 29,824.73 : x
  2. Step 2: Convert to fraction form
    52,180.25/72,008.75 = 29,824.73/x
  3. Step 3: Cross multiply
    52,180.25x = 72,008.75 × 29,824.73
  4. Step 4: Simplify right side
    52,180.25x = 2,147,641,377.26
  5. Step 5: Solve for x
    x = 2,147,641,377.26/52,180.25
  6. Step 6: Final answer
    x = 41,158.13

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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.