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Finding the Fourth Proportional to 31,611.50, 47,381.47 and 12,868.00

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Solution

The fourth proportional to 31,611.50, 47,381.47 and 12,868.00 is: 19,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.50 : 47,381.47 = 12,868.00 : x
  2. Step 2: Convert to fraction form
    31,611.50/47,381.47 = 12,868.00/x
  3. Step 3: Cross multiply
    31,611.50x = 47,381.47 × 12,868.00
  4. Step 4: Simplify right side
    31,611.50x = 609,704,605.34
  5. Step 5: Solve for x
    x = 609,704,605.34/31,611.50
  6. Step 6: Final answer
    x = 19,287.43

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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.