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Finding the Fourth Proportional to 48,364.25, 72,542.97 and 12,824.78

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Solution

The fourth proportional to 48,364.25, 72,542.97 and 12,824.78 is: 19,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.25 : 72,542.97 = 12,824.78 : x
  2. Step 2: Convert to fraction form
    48,364.25/72,542.97 = 12,824.78/x
  3. Step 3: Cross multiply
    48,364.25x = 72,542.97 × 12,824.78
  4. Step 4: Simplify right side
    48,364.25x = 930,347,268.08
  5. Step 5: Solve for x
    x = 930,347,268.08/48,364.25
  6. Step 6: Final answer
    x = 19,236.26

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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.