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Finding the Fourth Proportional to 109,878.96, 164,818.43 and 50,682.33

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Solution

The fourth proportional to 109,878.96, 164,818.43 and 50,682.33 is: 76,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.96 : 164,818.43 = 50,682.33 : x
  2. Step 2: Convert to fraction form
    109,878.96/164,818.43 = 50,682.33/x
  3. Step 3: Cross multiply
    109,878.96x = 164,818.43 × 50,682.33
  4. Step 4: Simplify right side
    109,878.96x = 8,353,382,059.34
  5. Step 5: Solve for x
    x = 8,353,382,059.34/109,878.96
  6. Step 6: Final answer
    x = 76,023.49

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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.