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Finding the Fourth Proportional to 81,693.86, 122,541.39 and 22,532.90

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Solution

The fourth proportional to 81,693.86, 122,541.39 and 22,532.90 is: 33,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,693.86 : 122,541.39 = 22,532.90 : x
  2. Step 2: Convert to fraction form
    81,693.86/122,541.39 = 22,532.90/x
  3. Step 3: Cross multiply
    81,693.86x = 122,541.39 × 22,532.90
  4. Step 4: Simplify right side
    81,693.86x = 2,761,212,274.02
  5. Step 5: Solve for x
    x = 2,761,212,274.02/81,693.86
  6. Step 6: Final answer
    x = 33,799.51

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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.