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Finding the Fourth Proportional to 31,182.84, 43,008 and 27,601.62

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Solution

The fourth proportional to 31,182.84, 43,008 and 27,601.62 is: 38,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.84 : 43,008 = 27,601.62 : x
  2. Step 2: Convert to fraction form
    31,182.84/43,008 = 27,601.62/x
  3. Step 3: Cross multiply
    31,182.84x = 43,008 × 27,601.62
  4. Step 4: Simplify right side
    31,182.84x = 1,187,090,472.96
  5. Step 5: Solve for x
    x = 1,187,090,472.96/31,182.84
  6. Step 6: Final answer
    x = 38,068.71

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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.