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Finding the Fourth Proportional to 31,301.96, 46,673.70 and 27,824.62

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Solution

The fourth proportional to 31,301.96, 46,673.70 and 27,824.62 is: 41,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.96 : 46,673.70 = 27,824.62 : x
  2. Step 2: Convert to fraction form
    31,301.96/46,673.70 = 27,824.62/x
  3. Step 3: Cross multiply
    31,301.96x = 46,673.70 × 27,824.62
  4. Step 4: Simplify right side
    31,301.96x = 1,298,677,966.49
  5. Step 5: Solve for x
    x = 1,298,677,966.49/31,301.96
  6. Step 6: Final answer
    x = 41,488.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.