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Finding the Fourth Proportional to 48,838.98, 67,399.26 and 27,617.82

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Solution

The fourth proportional to 48,838.98, 67,399.26 and 27,617.82 is: 38,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.98 : 67,399.26 = 27,617.82 : x
  2. Step 2: Convert to fraction form
    48,838.98/67,399.26 = 27,617.82/x
  3. Step 3: Cross multiply
    48,838.98x = 67,399.26 × 27,617.82
  4. Step 4: Simplify right side
    48,838.98x = 1,861,420,630.81
  5. Step 5: Solve for x
    x = 1,861,420,630.81/48,838.98
  6. Step 6: Final answer
    x = 38,113.42

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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.