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Finding the Fourth Proportional to 31,212.92, 46,824.04 and 11,489.98

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Solution

The fourth proportional to 31,212.92, 46,824.04 and 11,489.98 is: 17,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.92 : 46,824.04 = 11,489.98 : x
  2. Step 2: Convert to fraction form
    31,212.92/46,824.04 = 11,489.98/x
  3. Step 3: Cross multiply
    31,212.92x = 46,824.04 × 11,489.98
  4. Step 4: Simplify right side
    31,212.92x = 538,007,283.12
  5. Step 5: Solve for x
    x = 538,007,283.12/31,212.92
  6. Step 6: Final answer
    x = 17,236.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.