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Finding the Fourth Proportional to 100,341.81, 150,535.76 and 33,780.17

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Solution

The fourth proportional to 100,341.81, 150,535.76 and 33,780.17 is: 50,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341.81 : 150,535.76 = 33,780.17 : x
  2. Step 2: Convert to fraction form
    100,341.81/150,535.76 = 33,780.17/x
  3. Step 3: Cross multiply
    100,341.81x = 150,535.76 × 33,780.17
  4. Step 4: Simplify right side
    100,341.81x = 5,085,123,771.32
  5. Step 5: Solve for x
    x = 5,085,123,771.32/100,341.81
  6. Step 6: Final answer
    x = 50,678.02

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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.