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Finding the Fourth Proportional to 31,084.36, 42,878.02 and 21,999.48

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Solution

The fourth proportional to 31,084.36, 42,878.02 and 21,999.48 is: 30,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.36 : 42,878.02 = 21,999.48 : x
  2. Step 2: Convert to fraction form
    31,084.36/42,878.02 = 21,999.48/x
  3. Step 3: Cross multiply
    31,084.36x = 42,878.02 × 21,999.48
  4. Step 4: Simplify right side
    31,084.36x = 943,294,143.43
  5. Step 5: Solve for x
    x = 943,294,143.43/31,084.36
  6. Step 6: Final answer
    x = 30,346.26

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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.