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Finding the Fourth Proportional to 49,065.17, 67,712.02 and 27,846.41

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Solution

The fourth proportional to 49,065.17, 67,712.02 and 27,846.41 is: 38,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065.17 : 67,712.02 = 27,846.41 : x
  2. Step 2: Convert to fraction form
    49,065.17/67,712.02 = 27,846.41/x
  3. Step 3: Cross multiply
    49,065.17x = 67,712.02 × 27,846.41
  4. Step 4: Simplify right side
    49,065.17x = 1,885,536,262.67
  5. Step 5: Solve for x
    x = 1,885,536,262.67/49,065.17
  6. Step 6: Final answer
    x = 38,429.22

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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.