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Finding the Fourth Proportional to 25,171.49, 37,742.56 and 19,470.31

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Solution

The fourth proportional to 25,171.49, 37,742.56 and 19,470.31 is: 29,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.49 : 37,742.56 = 19,470.31 : x
  2. Step 2: Convert to fraction form
    25,171.49/37,742.56 = 19,470.31/x
  3. Step 3: Cross multiply
    25,171.49x = 37,742.56 × 19,470.31
  4. Step 4: Simplify right side
    25,171.49x = 734,859,200.36
  5. Step 5: Solve for x
    x = 734,859,200.36/25,171.49
  6. Step 6: Final answer
    x = 29,194.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.