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Finding the Fourth Proportional to 31,078.89, 42,894.42 and 18,331.29

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Solution

The fourth proportional to 31,078.89, 42,894.42 and 18,331.29 is: 25,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.89 : 42,894.42 = 18,331.29 : x
  2. Step 2: Convert to fraction form
    31,078.89/42,894.42 = 18,331.29/x
  3. Step 3: Cross multiply
    31,078.89x = 42,894.42 × 18,331.29
  4. Step 4: Simplify right side
    31,078.89x = 786,310,052.40
  5. Step 5: Solve for x
    x = 786,310,052.40/31,078.89
  6. Step 6: Final answer
    x = 25,300.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.