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Finding the Fourth Proportional to 31,196.84, 43,056.05 and 19,862.73

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Solution

The fourth proportional to 31,196.84, 43,056.05 and 19,862.73 is: 27,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.84 : 43,056.05 = 19,862.73 : x
  2. Step 2: Convert to fraction form
    31,196.84/43,056.05 = 19,862.73/x
  3. Step 3: Cross multiply
    31,196.84x = 43,056.05 × 19,862.73
  4. Step 4: Simplify right side
    31,196.84x = 855,210,596.70
  5. Step 5: Solve for x
    x = 855,210,596.70/31,196.84
  6. Step 6: Final answer
    x = 27,413.38

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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.