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Finding the Fourth Proportional to 49,045.94, 67,678.72 and 27,530.76

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Solution

The fourth proportional to 49,045.94, 67,678.72 and 27,530.76 is: 37,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045.94 : 67,678.72 = 27,530.76 : x
  2. Step 2: Convert to fraction form
    49,045.94/67,678.72 = 27,530.76/x
  3. Step 3: Cross multiply
    49,045.94x = 67,678.72 × 27,530.76
  4. Step 4: Simplify right side
    49,045.94x = 1,863,246,121.38
  5. Step 5: Solve for x
    x = 1,863,246,121.38/49,045.94
  6. Step 6: Final answer
    x = 37,989.81

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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.