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Finding the Fourth Proportional to 31,431.31, 47,146.96 and 14,797.96

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Solution

The fourth proportional to 31,431.31, 47,146.96 and 14,797.96 is: 22,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.31 : 47,146.96 = 14,797.96 : x
  2. Step 2: Convert to fraction form
    31,431.31/47,146.96 = 14,797.96/x
  3. Step 3: Cross multiply
    31,431.31x = 47,146.96 × 14,797.96
  4. Step 4: Simplify right side
    31,431.31x = 697,678,728.83
  5. Step 5: Solve for x
    x = 697,678,728.83/31,431.31
  6. Step 6: Final answer
    x = 22,196.94

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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.