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Finding the Fourth Proportional to 31,102.26, 42,921 and 16,955.88

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Solution

The fourth proportional to 31,102.26, 42,921 and 16,955.88 is: 23,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.26 : 42,921 = 16,955.88 : x
  2. Step 2: Convert to fraction form
    31,102.26/42,921 = 16,955.88/x
  3. Step 3: Cross multiply
    31,102.26x = 42,921 × 16,955.88
  4. Step 4: Simplify right side
    31,102.26x = 727,763,325.48
  5. Step 5: Solve for x
    x = 727,763,325.48/31,102.26
  6. Step 6: Final answer
    x = 23,399.05

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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.