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Finding the Fourth Proportional to 48,201.40, 72,269.70 and 21,892.60

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Solution

The fourth proportional to 48,201.40, 72,269.70 and 21,892.60 is: 32,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.40 : 72,269.70 = 21,892.60 : x
  2. Step 2: Convert to fraction form
    48,201.40/72,269.70 = 21,892.60/x
  3. Step 3: Cross multiply
    48,201.40x = 72,269.70 × 21,892.60
  4. Step 4: Simplify right side
    48,201.40x = 1,582,171,634.22
  5. Step 5: Solve for x
    x = 1,582,171,634.22/48,201.40
  6. Step 6: Final answer
    x = 32,824.18

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Why These Related Problems?

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