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Finding the Fourth Proportional to 49,915.46, 74,962.42 and 47,908.73

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Solution

The fourth proportional to 49,915.46, 74,962.42 and 47,908.73 is: 71,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,915.46 : 74,962.42 = 47,908.73 : x
  2. Step 2: Convert to fraction form
    49,915.46/74,962.42 = 47,908.73/x
  3. Step 3: Cross multiply
    49,915.46x = 74,962.42 × 47,908.73
  4. Step 4: Simplify right side
    49,915.46x = 3,591,354,339.93
  5. Step 5: Solve for x
    x = 3,591,354,339.93/49,915.46
  6. Step 6: Final answer
    x = 71,948.74

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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.