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Finding the Fourth Proportional to 109,882.35, 164,711.44 and 43,295.49

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Solution

The fourth proportional to 109,882.35, 164,711.44 and 43,295.49 is: 64,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.35 : 164,711.44 = 43,295.49 : x
  2. Step 2: Convert to fraction form
    109,882.35/164,711.44 = 43,295.49/x
  3. Step 3: Cross multiply
    109,882.35x = 164,711.44 × 43,295.49
  4. Step 4: Simplify right side
    109,882.35x = 7,131,262,503.41
  5. Step 5: Solve for x
    x = 7,131,262,503.41/109,882.35
  6. Step 6: Final answer
    x = 64,899.07

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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.