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Finding the Fourth Proportional to 103,306.32, 154,954.01 and 33,180.17

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Solution

The fourth proportional to 103,306.32, 154,954.01 and 33,180.17 is: 49,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306.32 : 154,954.01 = 33,180.17 : x
  2. Step 2: Convert to fraction form
    103,306.32/154,954.01 = 33,180.17/x
  3. Step 3: Cross multiply
    103,306.32x = 154,954.01 × 33,180.17
  4. Step 4: Simplify right side
    103,306.32x = 5,141,399,453.31
  5. Step 5: Solve for x
    x = 5,141,399,453.31/103,306.32
  6. Step 6: Final answer
    x = 49,768.49

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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.