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Finding the Fourth Proportional to 31,869.41, 47,804.09 and 9,682.70

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Solution

The fourth proportional to 31,869.41, 47,804.09 and 9,682.70 is: 14,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.41 : 47,804.09 = 9,682.70 : x
  2. Step 2: Convert to fraction form
    31,869.41/47,804.09 = 9,682.70/x
  3. Step 3: Cross multiply
    31,869.41x = 47,804.09 × 9,682.70
  4. Step 4: Simplify right side
    31,869.41x = 462,872,662.24
  5. Step 5: Solve for x
    x = 462,872,662.24/31,869.41
  6. Step 6: Final answer
    x = 14,524.04

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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.