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Finding the Fourth Proportional to 109,378.44, 164,097.09 and 34,501.50

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Solution

The fourth proportional to 109,378.44, 164,097.09 and 34,501.50 is: 51,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,378.44 : 164,097.09 = 34,501.50 : x
  2. Step 2: Convert to fraction form
    109,378.44/164,097.09 = 34,501.50/x
  3. Step 3: Cross multiply
    109,378.44x = 164,097.09 × 34,501.50
  4. Step 4: Simplify right side
    109,378.44x = 5,661,595,750.64
  5. Step 5: Solve for x
    x = 5,661,595,750.64/109,378.44
  6. Step 6: Final answer
    x = 51,761.53

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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.