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Finding the Fourth Proportional to 49,049.75, 67,686.59 and 27,833.01

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Solution

The fourth proportional to 49,049.75, 67,686.59 and 27,833.01 is: 38,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,049.75 : 67,686.59 = 27,833.01 : x
  2. Step 2: Convert to fraction form
    49,049.75/67,686.59 = 27,833.01/x
  3. Step 3: Cross multiply
    49,049.75x = 67,686.59 × 27,833.01
  4. Step 4: Simplify right side
    49,049.75x = 1,883,921,397.17
  5. Step 5: Solve for x
    x = 1,883,921,397.17/49,049.75
  6. Step 6: Final answer
    x = 38,408.38

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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.