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Finding the Fourth Proportional to 33,830.96, 50,732.56 and 10,130.15

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Solution

The fourth proportional to 33,830.96, 50,732.56 and 10,130.15 is: 15,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.96 : 50,732.56 = 10,130.15 : x
  2. Step 2: Convert to fraction form
    33,830.96/50,732.56 = 10,130.15/x
  3. Step 3: Cross multiply
    33,830.96x = 50,732.56 × 10,130.15
  4. Step 4: Simplify right side
    33,830.96x = 513,928,392.03
  5. Step 5: Solve for x
    x = 513,928,392.03/33,830.96
  6. Step 6: Final answer
    x = 15,191.07

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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.