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Finding the Fourth Proportional to 49,103.56, 67,760.58 and 27,880

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Solution

The fourth proportional to 49,103.56, 67,760.58 and 27,880 is: 38,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,103.56 : 67,760.58 = 27,880 : x
  2. Step 2: Convert to fraction form
    49,103.56/67,760.58 = 27,880/x
  3. Step 3: Cross multiply
    49,103.56x = 67,760.58 × 27,880
  4. Step 4: Simplify right side
    49,103.56x = 1,889,164,970.40
  5. Step 5: Solve for x
    x = 1,889,164,970.40/49,103.56
  6. Step 6: Final answer
    x = 38,473.08

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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.