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Finding the Fourth Proportional to 31,104, 42,923.52 and 19,926

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Solution

The fourth proportional to 31,104, 42,923.52 and 19,926 is: 27,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 42,923.52 = 19,926 : x
  2. Step 2: Convert to fraction form
    31,104/42,923.52 = 19,926/x
  3. Step 3: Cross multiply
    31,104x = 42,923.52 × 19,926
  4. Step 4: Simplify right side
    31,104x = 855,294,059.52
  5. Step 5: Solve for x
    x = 855,294,059.52/31,104
  6. Step 6: Final answer
    x = 27,497.88

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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.