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Finding the Fourth Proportional to 31,138.84, 42,971.72 and 16,992

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Solution

The fourth proportional to 31,138.84, 42,971.72 and 16,992 is: 23,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.84 : 42,971.72 = 16,992 : x
  2. Step 2: Convert to fraction form
    31,138.84/42,971.72 = 16,992/x
  3. Step 3: Cross multiply
    31,138.84x = 42,971.72 × 16,992
  4. Step 4: Simplify right side
    31,138.84x = 730,175,466.24
  5. Step 5: Solve for x
    x = 730,175,466.24/31,138.84
  6. Step 6: Final answer
    x = 23,449.03

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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.