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Finding the Fourth Proportional to 31,704.23, 47,554.71 and 10,644.44

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Solution

The fourth proportional to 31,704.23, 47,554.71 and 10,644.44 is: 15,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.23 : 47,554.71 = 10,644.44 : x
  2. Step 2: Convert to fraction form
    31,704.23/47,554.71 = 10,644.44/x
  3. Step 3: Cross multiply
    31,704.23x = 47,554.71 × 10,644.44
  4. Step 4: Simplify right side
    31,704.23x = 506,193,019.54
  5. Step 5: Solve for x
    x = 506,193,019.54/31,704.23
  6. Step 6: Final answer
    x = 15,966.11

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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.