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Finding the Fourth Proportional to 100,489.14, 150,719.40 and 33,920.51

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Solution

The fourth proportional to 100,489.14, 150,719.40 and 33,920.51 is: 50,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489.14 : 150,719.40 = 33,920.51 : x
  2. Step 2: Convert to fraction form
    100,489.14/150,719.40 = 33,920.51/x
  3. Step 3: Cross multiply
    100,489.14x = 150,719.40 × 33,920.51
  4. Step 4: Simplify right side
    100,489.14x = 5,112,478,161.30
  5. Step 5: Solve for x
    x = 5,112,478,161.30/100,489.14
  6. Step 6: Final answer
    x = 50,875.93

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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.