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Finding the Fourth Proportional to 55,544.49, 76,649.49 and 31,678.85

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Solution

The fourth proportional to 55,544.49, 76,649.49 and 31,678.85 is: 43,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,544.49 : 76,649.49 = 31,678.85 : x
  2. Step 2: Convert to fraction form
    55,544.49/76,649.49 = 31,678.85/x
  3. Step 3: Cross multiply
    55,544.49x = 76,649.49 × 31,678.85
  4. Step 4: Simplify right side
    55,544.49x = 2,428,167,719.27
  5. Step 5: Solve for x
    x = 2,428,167,719.27/55,544.49
  6. Step 6: Final answer
    x = 43,715.73

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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.