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Finding the Fourth Proportional to 49,103.88, 67,760.16 and 28,956.14

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Solution

The fourth proportional to 49,103.88, 67,760.16 and 28,956.14 is: 39,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,103.88 : 67,760.16 = 28,956.14 : x
  2. Step 2: Convert to fraction form
    49,103.88/67,760.16 = 28,956.14/x
  3. Step 3: Cross multiply
    49,103.88x = 67,760.16 × 28,956.14
  4. Step 4: Simplify right side
    49,103.88x = 1,962,072,679.38
  5. Step 5: Solve for x
    x = 1,962,072,679.38/49,103.88
  6. Step 6: Final answer
    x = 39,957.59

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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.