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Finding the Fourth Proportional to 31,109, 42,931.10 and 16,961.90

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Solution

The fourth proportional to 31,109, 42,931.10 and 16,961.90 is: 23,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109 : 42,931.10 = 16,961.90 : x
  2. Step 2: Convert to fraction form
    31,109/42,931.10 = 16,961.90/x
  3. Step 3: Cross multiply
    31,109x = 42,931.10 × 16,961.90
  4. Step 4: Simplify right side
    31,109x = 728,193,025.09
  5. Step 5: Solve for x
    x = 728,193,025.09/31,109
  6. Step 6: Final answer
    x = 23,407.79

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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.