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Finding the Fourth Proportional to 31,110, 42,917 and 21,041.96

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Solution

The fourth proportional to 31,110, 42,917 and 21,041.96 is: 29,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 42,917 = 21,041.96 : x
  2. Step 2: Convert to fraction form
    31,110/42,917 = 21,041.96/x
  3. Step 3: Cross multiply
    31,110x = 42,917 × 21,041.96
  4. Step 4: Simplify right side
    31,110x = 903,057,797.32
  5. Step 5: Solve for x
    x = 903,057,797.32/31,110
  6. Step 6: Final answer
    x = 29,027.89

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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.