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Finding the Fourth Proportional to 31,774.46, 43,830.54 and 19,817.04

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Solution

The fourth proportional to 31,774.46, 43,830.54 and 19,817.04 is: 27,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.46 : 43,830.54 = 19,817.04 : x
  2. Step 2: Convert to fraction form
    31,774.46/43,830.54 = 19,817.04/x
  3. Step 3: Cross multiply
    31,774.46x = 43,830.54 × 19,817.04
  4. Step 4: Simplify right side
    31,774.46x = 868,591,564.40
  5. Step 5: Solve for x
    x = 868,591,564.40/31,774.46
  6. Step 6: Final answer
    x = 27,336.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.