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Finding the Fourth Proportional to 31,886.33, 47,822.19 and 9,391.19

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Solution

The fourth proportional to 31,886.33, 47,822.19 and 9,391.19 is: 14,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.33 : 47,822.19 = 9,391.19 : x
  2. Step 2: Convert to fraction form
    31,886.33/47,822.19 = 9,391.19/x
  3. Step 3: Cross multiply
    31,886.33x = 47,822.19 × 9,391.19
  4. Step 4: Simplify right side
    31,886.33x = 449,107,272.51
  5. Step 5: Solve for x
    x = 449,107,272.51/31,886.33
  6. Step 6: Final answer
    x = 14,084.63

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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.