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Finding the Fourth Proportional to 82,652.81, 123,987.43 and 32,767.34

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Solution

The fourth proportional to 82,652.81, 123,987.43 and 32,767.34 is: 49,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652.81 : 123,987.43 = 32,767.34 : x
  2. Step 2: Convert to fraction form
    82,652.81/123,987.43 = 32,767.34/x
  3. Step 3: Cross multiply
    82,652.81x = 123,987.43 × 32,767.34
  4. Step 4: Simplify right side
    82,652.81x = 4,062,738,274.54
  5. Step 5: Solve for x
    x = 4,062,738,274.54/82,652.81
  6. Step 6: Final answer
    x = 49,154.27

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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.