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Finding the Fourth Proportional to 48,963, 73,445.94 and 12,027

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Solution

The fourth proportional to 48,963, 73,445.94 and 12,027 is: 18,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963 : 73,445.94 = 12,027 : x
  2. Step 2: Convert to fraction form
    48,963/73,445.94 = 12,027/x
  3. Step 3: Cross multiply
    48,963x = 73,445.94 × 12,027
  4. Step 4: Simplify right side
    48,963x = 883,334,320.38
  5. Step 5: Solve for x
    x = 883,334,320.38/48,963
  6. Step 6: Final answer
    x = 18,040.85

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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.