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Finding the Fourth Proportional to 100,340.76, 150,416.98 and 33,734.32

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Solution

The fourth proportional to 100,340.76, 150,416.98 and 33,734.32 is: 50,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.76 : 150,416.98 = 33,734.32 : x
  2. Step 2: Convert to fraction form
    100,340.76/150,416.98 = 33,734.32/x
  3. Step 3: Cross multiply
    100,340.76x = 150,416.98 × 33,734.32
  4. Step 4: Simplify right side
    100,340.76x = 5,074,214,536.75
  5. Step 5: Solve for x
    x = 5,074,214,536.75/100,340.76
  6. Step 6: Final answer
    x = 50,569.82

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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.