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Finding the Fourth Proportional to 35,882.96, 53,824.56 and 10,923.20

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Solution

The fourth proportional to 35,882.96, 53,824.56 and 10,923.20 is: 16,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.96 : 53,824.56 = 10,923.20 : x
  2. Step 2: Convert to fraction form
    35,882.96/53,824.56 = 10,923.20/x
  3. Step 3: Cross multiply
    35,882.96x = 53,824.56 × 10,923.20
  4. Step 4: Simplify right side
    35,882.96x = 587,936,433.79
  5. Step 5: Solve for x
    x = 587,936,433.79/35,882.96
  6. Step 6: Final answer
    x = 16,384.84

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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.