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Finding the Fourth Proportional to 109,540.15, 164,333.98 and 33,638.93

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Solution

The fourth proportional to 109,540.15, 164,333.98 and 33,638.93 is: 50,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540.15 : 164,333.98 = 33,638.93 : x
  2. Step 2: Convert to fraction form
    109,540.15/164,333.98 = 33,638.93/x
  3. Step 3: Cross multiply
    109,540.15x = 164,333.98 × 33,638.93
  4. Step 4: Simplify right side
    109,540.15x = 5,528,019,086.47
  5. Step 5: Solve for x
    x = 5,528,019,086.47/109,540.15
  6. Step 6: Final answer
    x = 50,465.69

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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.