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Finding the Fourth Proportional to 37,142.36, 51,264 and 25,209.54

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Solution

The fourth proportional to 37,142.36, 51,264 and 25,209.54 is: 34,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.36 : 51,264 = 25,209.54 : x
  2. Step 2: Convert to fraction form
    37,142.36/51,264 = 25,209.54/x
  3. Step 3: Cross multiply
    37,142.36x = 51,264 × 25,209.54
  4. Step 4: Simplify right side
    37,142.36x = 1,292,341,858.56
  5. Step 5: Solve for x
    x = 1,292,341,858.56/37,142.36
  6. Step 6: Final answer
    x = 34,794.29

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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.