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Finding the Fourth Proportional to 100,233.16, 150,368.10 and 33,680.32

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Solution

The fourth proportional to 100,233.16, 150,368.10 and 33,680.32 is: 50,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,233.16 : 150,368.10 = 33,680.32 : x
  2. Step 2: Convert to fraction form
    100,233.16/150,368.10 = 33,680.32/x
  3. Step 3: Cross multiply
    100,233.16x = 150,368.10 × 33,680.32
  4. Step 4: Simplify right side
    100,233.16x = 5,064,445,725.79
  5. Step 5: Solve for x
    x = 5,064,445,725.79/100,233.16
  6. Step 6: Final answer
    x = 50,526.65

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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.