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Finding the Fourth Proportional to 49,060.09, 67,701.04 and 27,838.09

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Solution

The fourth proportional to 49,060.09, 67,701.04 and 27,838.09 is: 38,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060.09 : 67,701.04 = 27,838.09 : x
  2. Step 2: Convert to fraction form
    49,060.09/67,701.04 = 27,838.09/x
  3. Step 3: Cross multiply
    49,060.09x = 67,701.04 × 27,838.09
  4. Step 4: Simplify right side
    49,060.09x = 1,884,667,644.61
  5. Step 5: Solve for x
    x = 1,884,667,644.61/49,060.09
  6. Step 6: Final answer
    x = 38,415.50

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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.