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Finding the Fourth Proportional to 31,915.87, 47,877.07 and 12,211.00

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Solution

The fourth proportional to 31,915.87, 47,877.07 and 12,211.00 is: 18,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.87 : 47,877.07 = 12,211.00 : x
  2. Step 2: Convert to fraction form
    31,915.87/47,877.07 = 12,211.00/x
  3. Step 3: Cross multiply
    31,915.87x = 47,877.07 × 12,211.00
  4. Step 4: Simplify right side
    31,915.87x = 584,626,662.38
  5. Step 5: Solve for x
    x = 584,626,662.38/31,915.87
  6. Step 6: Final answer
    x = 18,317.74

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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.