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Finding the Fourth Proportional to 31,601.44, 47,389.04 and 11,869.76

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Solution

The fourth proportional to 31,601.44, 47,389.04 and 11,869.76 is: 17,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.44 : 47,389.04 = 11,869.76 : x
  2. Step 2: Convert to fraction form
    31,601.44/47,389.04 = 11,869.76/x
  3. Step 3: Cross multiply
    31,601.44x = 47,389.04 × 11,869.76
  4. Step 4: Simplify right side
    31,601.44x = 562,496,531.43
  5. Step 5: Solve for x
    x = 562,496,531.43/31,601.44
  6. Step 6: Final answer
    x = 17,799.71

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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.