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Finding the Fourth Proportional to 31,327.81, 46,980.09 and 12,601.44

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Solution

The fourth proportional to 31,327.81, 46,980.09 and 12,601.44 is: 18,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,327.81 : 46,980.09 = 12,601.44 : x
  2. Step 2: Convert to fraction form
    31,327.81/46,980.09 = 12,601.44/x
  3. Step 3: Cross multiply
    31,327.81x = 46,980.09 × 12,601.44
  4. Step 4: Simplify right side
    31,327.81x = 592,016,785.33
  5. Step 5: Solve for x
    x = 592,016,785.33/31,327.81
  6. Step 6: Final answer
    x = 18,897.49

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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.