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Finding the Fourth Proportional to 31,790.69, 47,702.43 and 13,084.55

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Solution

The fourth proportional to 31,790.69, 47,702.43 and 13,084.55 is: 19,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.69 : 47,702.43 = 13,084.55 : x
  2. Step 2: Convert to fraction form
    31,790.69/47,702.43 = 13,084.55/x
  3. Step 3: Cross multiply
    31,790.69x = 47,702.43 × 13,084.55
  4. Step 4: Simplify right side
    31,790.69x = 624,164,591.94
  5. Step 5: Solve for x
    x = 624,164,591.94/31,790.69
  6. Step 6: Final answer
    x = 19,633.57

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