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Finding the Fourth Proportional to 31,129.50, 42,955.44 and 19,198.20

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Solution

The fourth proportional to 31,129.50, 42,955.44 and 19,198.20 is: 26,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.50 : 42,955.44 = 19,198.20 : x
  2. Step 2: Convert to fraction form
    31,129.50/42,955.44 = 19,198.20/x
  3. Step 3: Cross multiply
    31,129.50x = 42,955.44 × 19,198.20
  4. Step 4: Simplify right side
    31,129.50x = 824,667,128.21
  5. Step 5: Solve for x
    x = 824,667,128.21/31,129.50
  6. Step 6: Final answer
    x = 26,491.50

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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.