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Finding the Fourth Proportional to 52,164.60, 78,285.30 and 21,022.20

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Solution

The fourth proportional to 52,164.60, 78,285.30 and 21,022.20 is: 31,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.60 : 78,285.30 = 21,022.20 : x
  2. Step 2: Convert to fraction form
    52,164.60/78,285.30 = 21,022.20/x
  3. Step 3: Cross multiply
    52,164.60x = 78,285.30 × 21,022.20
  4. Step 4: Simplify right side
    52,164.60x = 1,645,729,233.66
  5. Step 5: Solve for x
    x = 1,645,729,233.66/52,164.60
  6. Step 6: Final answer
    x = 31,548.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.