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Finding the Fourth Proportional to 39,778.12, 54,892.74 and 21,871.72

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Solution

The fourth proportional to 39,778.12, 54,892.74 and 21,871.72 is: 30,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.12 : 54,892.74 = 21,871.72 : x
  2. Step 2: Convert to fraction form
    39,778.12/54,892.74 = 21,871.72/x
  3. Step 3: Cross multiply
    39,778.12x = 54,892.74 × 21,871.72
  4. Step 4: Simplify right side
    39,778.12x = 1,200,598,639.31
  5. Step 5: Solve for x
    x = 1,200,598,639.31/39,778.12
  6. Step 6: Final answer
    x = 30,182.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.