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Finding the Fourth Proportional to 48,706.92, 67,218.66 and 27,478.44

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Solution

The fourth proportional to 48,706.92, 67,218.66 and 27,478.44 is: 37,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.92 : 67,218.66 = 27,478.44 : x
  2. Step 2: Convert to fraction form
    48,706.92/67,218.66 = 27,478.44/x
  3. Step 3: Cross multiply
    48,706.92x = 67,218.66 × 27,478.44
  4. Step 4: Simplify right side
    48,706.92x = 1,847,063,915.69
  5. Step 5: Solve for x
    x = 1,847,063,915.69/48,706.92
  6. Step 6: Final answer
    x = 37,922.00

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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.