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Finding the Fourth Proportional to 35,762.78, 53,632.02 and 12,383.75

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Solution

The fourth proportional to 35,762.78, 53,632.02 and 12,383.75 is: 18,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.78 : 53,632.02 = 12,383.75 : x
  2. Step 2: Convert to fraction form
    35,762.78/53,632.02 = 12,383.75/x
  3. Step 3: Cross multiply
    35,762.78x = 53,632.02 × 12,383.75
  4. Step 4: Simplify right side
    35,762.78x = 664,165,527.68
  5. Step 5: Solve for x
    x = 664,165,527.68/35,762.78
  6. Step 6: Final answer
    x = 18,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.