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Finding the Fourth Proportional to 48,857.50, 67,423.35 and 27,636.31

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Solution

The fourth proportional to 48,857.50, 67,423.35 and 27,636.31 is: 38,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,857.50 : 67,423.35 = 27,636.31 : x
  2. Step 2: Convert to fraction form
    48,857.50/67,423.35 = 27,636.31/x
  3. Step 3: Cross multiply
    48,857.50x = 67,423.35 × 27,636.31
  4. Step 4: Simplify right side
    48,857.50x = 1,863,332,601.84
  5. Step 5: Solve for x
    x = 1,863,332,601.84/48,857.50
  6. Step 6: Final answer
    x = 38,138.11

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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.