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Finding the Fourth Proportional to 48,540, 66,983.58 and 27,318

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Solution

The fourth proportional to 48,540, 66,983.58 and 27,318 is: 37,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 66,983.58 = 27,318 : x
  2. Step 2: Convert to fraction form
    48,540/66,983.58 = 27,318/x
  3. Step 3: Cross multiply
    48,540x = 66,983.58 × 27,318
  4. Step 4: Simplify right side
    48,540x = 1,829,857,438.44
  5. Step 5: Solve for x
    x = 1,829,857,438.44/48,540
  6. Step 6: Final answer
    x = 37,697.93

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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.